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Research Group on “Theoretical Physics and Cosmology” Institute for Space Research (ICE/CSIC) & Institute for Space Studies of Catalonia (IEECC) Bellaterra (Barcelona) Spain FIVE-YEAR ACTIVITY REPORT, 2009-2014 _______________________________________________ Main Financed Projects: Consolider Project (DGICYT): “Modelos cosmológicos, energía del vacío y funciones zeta” (“Cosmological Models, the Vacuum Energy, and Zeta Functions”) Reference: FIS2006-02842; 1-10-2006 to 30-9-2011 Reference: FIS2010-15640; 1-1-2011 to 31-12-2013 Reference: FIS2013-88441-P; 1-1-2014 to 31-12-2016 NABS Codes: 9.1, 11.1, 11.0 Consolidated Group of Generalitat de Catalunya: “Cosmologia i Física Teòrica” (“Cosmology and Theoretical Physics”) Reference: 2005SGR790; 1-1-2006 to 31-12-2009 Reference: 2009SGR995; 1-1-2010 to 31-12-2013 Principal Investigator (of all projects): Prof. Dr. Emilio Elizalde Senior Research Professor http://www.ieec.fcr.es/english/recerca/ftc/eli/eli.htm Other group members: Senior: Sergei Odintsov, ICREA Professor PhD Students: Gloria García Cuadrado, Aerospace Research and Technology Centre – CTAE Contract Roger Oliva, EOP-PE ESA – ESAC Contract Master Students: Ahmad Mel Graduation Students: Marc Canals Anna Escofet Pacreu Other Projects (see also: http://www.ieec.fcr.es/english/recerca/ftc/eli/proje06.html): CASIMIR New Trends and Applications of the Casimir Effect European PESC Project, European Community Spanish Representative in the Steering Committee: Prof. Dr. Emilio Elizalde Consolider-Ingenio 2010 Project: CPAN Project (CSD2007-00042) Member of the Executive Committee: Prof. Dr. Emilio Elizalde

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Research Group on “Theoretical Physics and Cosmology” Institute for Space Research (ICE/CSIC) & Institute for Space Studies of Catalonia (IEECC) Bellaterra (Barcelona) Spain FIVE-YEAR ACTIVITY REPORT, 2009-2014 _______________________________________________ Main Financed Projects: Consolider Project (DGICYT): “Modelos cosmológicos, energía del vacío y funciones zeta” (“Cosmological Models, the Vacuum Energy, and Zeta Functions”) Reference: FIS2006-02842; 1-10-2006 to 30-9-2011 Reference: FIS2010-15640; 1-1-2011 to 31-12-2013 Reference: FIS2013-88441-P; 1-1-2014 to 31-12-2016 NABS Codes: 9.1, 11.1, 11.0 Consolidated Group of Generalitat de Catalunya: “Cosmologia i Física Teòrica” (“Cosmology and Theoretical Physics”) Reference: 2005SGR790; 1-1-2006 to 31-12-2009 Reference: 2009SGR995; 1-1-2010 to 31-12-2013 Principal Investigator (of all projects): Prof. Dr. Emilio Elizalde Senior Research Professor http://www.ieec.fcr.es/english/recerca/ftc/eli/eli.htm Other group members: Senior: Sergei Odintsov, ICREA Professor PhD Students: Gloria García Cuadrado, Aerospace Research and Technology Centre – CTAE Contract Roger Oliva, EOP-PE ESA – ESAC Contract Master Students: Ahmad Mel Graduation Students: Marc Canals Anna Escofet Pacreu Other Projects (see also: http://www.ieec.fcr.es/english/recerca/ftc/eli/proje06.html): CASIMIR New Trends and Applications of the Casimir Effect European PESC Project, European Community Spanish Representative in the Steering Committee: Prof. Dr. Emilio Elizalde Consolider-Ingenio 2010 Project: CPAN Project (CSD2007-00042) Member of the Executive Committee: Prof. Dr. Emilio Elizalde

AGAUR Consolidated Group: 2005SGR00790, 2009SGR994 Principal Investigator: Prof. Dr. Emilio Elizalde Short summary of past performance and leadership. Our Research Group of ICE/CSIC and IEEC has gained important international recognition and leadership in the fields we foster from quantum gravity, theoretical cosmology and zeta function applications. This leadership is undisputed in the Catalan Community, according to the two studies about “Physics in Catalonia”, published in 2000 and 2005. Concerning very recent activity, of the last five years or so, our works on alternative models to General Relativity, as phantom models, Gauss-Bonnet, and general F(R) models--some written together with S. Nojiri and our Italian collaborators G. Cognola, L. Sebastiani and S. Zerbini--have had truly impressive successes. On these subjects, the group has a record of six papers among the twenty most cited papers in the ArXives on those matters ever, two of them with over 1.000 citations and two more approaching this mark. Our PI, E. Elizalde is a founding partner, and the group a main driving force, of both the ICE and IEEC Institutes, top ranked 8th and 9th worldwide in Normalized Impact Factor in the Science Citation Index SCIMAGO Institutions Rankings (World Reports 2011 to 2013). This is without precedent in Spanish Science. And concerning the performance of the group in the more mathematical-physics driven activity of our team, with roots in research on the analytic continuation of different classes of zeta and other special functions, led by Prof. Elizalde, we should mention that, following Steven Hawking seminal paper (Commun. Math. Phys. 55, 133, 1977) on zeta function regularization which, with some 1.000 citations, remains today the most cited reference on the subject, our book (E. Elizalde et al, Zeta regularization techniques with applications, World Sci, 1994), approaching 900, goes as the second most cited reference on this matter. This is again remarkable, even more in such a hard area as mathematical-physics. EE’s 1995 Springer monograph Ten physical applications of spectral zeta functions (2nd Ed. 2012) has more than 600. It is just fair to say that, in this subject we have published pioneering work which has gained very important international recognition, with some 30 papers over the 100 citation mark, a performance that is unparalleled internationally in those domains. As an important part of our profile, we have also carried out a very extensive outreach activity as communicators of scientific knowledge to the society, in Spain and abroad, in a very serious, professional, and accessible way. Over twenty books in all, from schoolbooks to dictionaries, articles for popular science journals, over sixty articles for newspapers and magazines, including all sort of profound social discussions, as science and religion, the Universe’s origin from different perspectives, etc., translations of books, Scientific American articles, from Spektrum der Wiessenschaft, etc., from different languages, some on the philosophy of science. Also, we should list the numerous conferences given in schools, town-halls, social clubs, auditoriums, etc., the participations in Graduierten Kollegs and other PhD Programs in Europe (Germany, France, Italy, Spain) and America (USA, Brazil, Colombia). A detailed account of his outreach activities can be found on our webpage. Finally, another very important achievement of our group, along the years, is witnessed by the successes of our former graduate students, accomplished in a wide spectrum of very different fields: from heavy quark physics to informatics engineering, from observational cosmology to sport physics, from financial mathematics to large-scale structure, from data compression to the Casimir effect. We are extremely proud of our former students, Prof. J. Soto, Dr. A. Romeo,

Prof. S. Gómez, Dr. S. Leseduarte, Dr. P. Fosalba, Dr. S.R. Hildebrandt, Prof. E. Gaztañaga, and several other past students and Post-Docs, as Prof. K. Kirsten. Presently, we are trying to find a universal and consistent theory of modified Einsteinian cosmology that can account for recent and upcoming observational data. This theory will preferably come out of fundamental principles and incorporate in some way quantum corrections to the classical approaches. Our theory group has already excelled in obtaining partial solutions to this challenging problem and has published some of the reference papers with highest impact on this matter (as already mentioned). We plan to work close together to find new ways to match theory and observations. We seem far from understanding quantum gravity, but semi-classical approaches have led to the seminal idea (Zeldovich 1968), that quantum vacuum fluctuations could `gravitate’ and provide a candidate for dark energy, the so called cosmological constant, Λ, where the dark energy fluid equation of state has a value w = p/ρ=−1. However, the value of Λ indicated by the cosmic acceleration is 120 orders of magnitude smaller than that expected from quantum gravity, when one chooses as cut-off to our knowledge of Physics the Planck constant (Weinberg 1989, Padmanabhan 2003). This picture provides, nevertheless, the current standard and quite successful cosmological model, ΛCDM, where we can measure the cosmological parameters (w, ΩDM and ΩDE,) but we do not in fact know what they really represent. The impact of the program CASIMIR may prove to be very important in the near future. Our group has participated in the European Network CASIMIR, 2009-13, whose aim was to contribute to the understanding and potential use at cosmological scale and in the nano-world of the fluctuations of the quantum vacuum energy. We have now submitted an application for a COST Project with the name “Casimir Physics”. Its importance for elucidating the nature of dark energy may become crucial. We hope the proposal will be approved this year.

SCHEMATIC SUMMARY OF THE MOST RELEVANT RESULTS OF THE GROUP 2009-14

Peer Reviewed Publications 125 Books 6 Book Chapters 37 Citations last 5 years Group Citations (5y) 14,703 Average Citations per Article (5y) 65 Hirsch Index (5y) h = 59 Conferences & Seminars given 156 Other Projects & Contracts 25 Collaborations with foreign groups 14 Contrated Scientists 7 Defended PhD Thesis 3 Defended Master Thesis 3 Editor-in-Chief 2 Frontiers in Mathematical Physics,

Galaxies

Results 2009-14 Books published:

1) Applications of zeta functions and other spectral functions in mathematics and physics: a special issue in honour of Stuart Dowker's 75th birthday, Eds. F. Dowker, E. Elizalde and K. Kirsten (IOP, London, 2012)

2) Ten Physical Applications of Spectral Zeta Functions, 2nd Ed. E. Elizalde (Springer Verlag, 2012)

3) Quantum field theory under the influence of external conditions (QFEXT 11), Eds. M. Asorey, M. Bordag, E. Elizalde (IOP. London, 2012).

4) Cosmology, Quantum Vacuum, and Zeta Functions, Eds. D. Sáez-Gómez, S.D. Odintsov and S. Xambó (Springer Verlag, Berlin, 2011) 410p.

5) Cosmology, the Quantum Vacuum, and Zeta Functions: A Choice of Papers, Eds. V.V. Obukhov and S.D. Odintsov (Ed. TSPU, Tomsk, Russia, 2009) 430p.

6) The Casimir Effect and Cosmology, Eds. S.D. Odintsov, E. Elizalde and O. Gorbunova (Ed. TSPU, Tomsk, Russia, 2009) 350p.

Research Articles published: 1) Aligned electromagnetic excitations of a black hole and their impact on its quantum horizon By Alexander Burinskii, Emilio Elizalde, Sergi R. Hildebrandt, Giulio Magli. arXiv:0705.3551 [hep-th]. 10.1016/j.physletb.2008.12.031. Phys.Lett. B671 (2009) 486-492. 2) Oscillating Universe from inhomogeneous EoS and coupled dark energy By Diego Saez-Gomez. arXiv:0804.4586 [hep-th]. 10.1134/S0202289309020054.

Members of Editorial Boards 12 Honorary Doctorates 1 University Gold Medals 1 Fellowships of International Societies 1 Translations of books and articles 5 Outreach Activities 24 Historical Group Performance Accumulated Total Number of Citations 29,570 Average Citations per Article (tot) 43 Hirsch Index (tot) h = 78 7 Works with over 600 Citations each Namely: 1100,1010,810,800,620,610,600 18 Works with over 300 Citations each Fund rising: Number of competitive projects and contracts 24 (8 international) Funds raised 580,000 €

Grav.Cosmol. 15 (2009) 134-140. 3) Dark energy, inflation and dark matter from modified F(R) gravity By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:0807.0685 [hep-th]. TSPU Bulletin N8(110) (2011) 7-19. 4) f(R) gravity constrained by PPN parameters and stochastic background of gravitational waves By S. Capozziello, M. De Laurentis, S. Nojiri, S.D. Odintsov. arXiv:0808.1335 [hep-th]. 10.1007/s10714-009-0758-1. Gen.Rel.Grav. 41 (2009) 2313-2344. 5) Modified f(R) gravity from scalar-tensor theory and inhomogeneous EoS dark energy By Diego Saez-Gomez. arXiv:0809.1311 [hep-th]. 10.1007/s10714-008-0724-3. Gen.Rel.Grav. 41 (2009) 1527-1538. 6) Accelerating cosmologies from non-local higher-derivative gravity By Salvatore Capozziello, Emilio Elizalde, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:0809.1535 [hep-th]. 10.1016/j.physletb.2008.11.060. Phys.Lett. B671 (2009) 193-198. 7) Modified gravity as realistic candidate for dark energy, inflation and dark matter By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:0810.1557 [hep-th]. 10.1063/1.3131501. AIP Conf.Proc. 1115 (2009) 212-217. 8) Crossing of the phantom divide in modified gravity By Kazuharu Bamba, Chao-Qiang Geng, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:0810.4296 [hep-th]. 10.1103/PhysRevD.79.083014. Phys.Rev. D79 (2009) 083014. 9) Initial and final de Sitter universes from modified f(R) gravity By G. Cognola, E. Elizalde, S.D. Odintsov, P. Tretyakov, S. Zerbini. arXiv:0810.4989 [gr-qc]. 10.1103/PhysRevD.79.044001. Phys.Rev. D79 (2009) 044001. 10) Repulsive Casimir effect from extra dimensions and Robin boundary conditions: From branes to pistons By E. Elizalde, S.D. Odintsov, A.A. Saharian. arXiv:0902.0717 [hep-th]. 10.1103/PhysRevD.79.065023. Phys.Rev. D79 (2009) 065023.

11) F(R) cosmology in presence of a phantom fluid and its scalar-tensor counterpart: Towards a unified precision model of the universe evolution By Emilio Elizalde, Diego Saez-Gomez. arXiv:0903.2732 [hep-th]. 10.1103/PhysRevD.80.044030. Phys.Rev. D80 (2009) 044030. 12) Classifying and avoiding singularities in the alternative gravity dark energy models By S. Capozziello, M. De Laurentis, S. Nojiri, S.D. Odintsov. arXiv:0903.2753 [hep-th]. 10.1103/PhysRevD.79.124007. Phys.Rev. D79 (2009) 124007. 13) Singularity of spherically-symmetric spacetime in quintessence/phantom dark energy universe By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:0903.5231 [hep-th]. 10.1016/j.physletb.2009.04.079. Phys.Lett. B676 (2009) 94-98. 14) One-loop effective action for non-local modified Gauss-Bonnet gravity in de Sitter space By Guido Cognola, Emilio Elizalde, Shin'ichi Nojiri, Sergei D. Odintsov, Sergio Zerbini. arXiv:0905.0543 [gr-qc]. 10.1140/epjc/s10052-009-1154-4. Eur.Phys.J. C64 (2009) 483-494. 15) Covariant Horava-like renormalizable gravity and its FRW cosmology By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:0905.4213 [hep-th]. 10.1103/PhysRevD.81.043001. Phys.Rev. D81 (2010) 043001. 16) A remembrance of Hendrik Casimir in the 60th anniversary of his discovery, with some basic considerations on the Casimir effect By Emilio Elizalde. 10.1088/1742-6596/161/1/012019. J.Phys.Conf.Ser. 161 (2009) 012019. 17) Conformal Transformations in Cosmology of Modified Gravity: The Covariant Approach Perspective By Sante Carloni, Emilio Elizalde, Sergei Odintsov. arXiv:0907.3941 [gr-qc]. 10.1007/s10714-010-0936-1. Gen.Rel.Grav. 42 (2010) 1667-1705. 18) An effective gravity model and singularity avoidance in quantum FRW cosmologies By Jaume Haro, Emilio Elizalde. 10.1088/1751-8113/42/20/202002. J.Phys. A42 (2009) 202002. 19) Cosmological reconstruction of realistic modified F(R) gravities By Shin'ichi Nojiri, Sergei D. Odintsov, Diego Saez-Gomez.

arXiv:0908.1269 [hep-th]. 10.1016/j.physletb.2009.09.045. Phys.Lett. B681 (2009) 74-80. 20) Casimir Effects Near the Big Rip Singularity in Viscous Cosmology By Iver Brevik, Olesya Gorbunova, Diego Saez-Gomez. arXiv:0908.2882 [gr-qc]. 10.1007/s10714-009-0923-6. Gen.Rel.Grav. 42 (2010) 1513-1522. 21) An analysis of the phase space of Horava-Lifshitz cosmologies By S. Carloni, E. Elizalde, P.J. Silva. arXiv:0909.2219 [hep-th]. 10.1088/0264-9381/27/4/045004. Class.Quant.Grav. 27 (2010) 045004. 22) Vacuum energy fluctuations, the induced cosmological constant and cosmological reconstruction in non-minimal modified gravity models By Guido Cognola, Emilio Elizalde, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:0909.2747 [gr-qc]. 10.2174/1874381101003020020. Open Astron.J. 3 (2010) 20-29. 23) Equivalence of modified gravity equation to the Clausius relation By Kazuharu Bamba, Chao-Qiang Geng, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:0909.4397 [hep-th]. 10.1209/0295-5075/89/50003. Europhys.Lett. 89 (2010) 50003. 24) The Oscillating dark energy and cosmological Casimir effect By Olesya Gorbunova, Diego Saez-Gomez. arXiv:0909.5113 [gr-qc]. 10.2174/1874381101003020073. Open Astron.J. 3 (2010) 73. 25) Spherical systems in models of nonlocally corrected gravity By K.A. Bronnikov, E. Elizalde. arXiv:0910.3929 [hep-th]. 10.1103/PhysRevD.81.044032. Phys.Rev. D81 (2010) 044032. 26) PPN limit and cosmological gravitational waves as tools to constrain f(R)-gravity By Mariafelicia De Laurentis, Salvatore Capozziello, Shin'ichi Nojiri, Sergei Odintsov. arXiv:0911.2139 [gr-qc]. 10.1002/andp.201010444. Annalen Phys. 19 (2010) 347-350. 27) Is the future universe singular: Dark Matter versus modified gravity? By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:0911.2781 [hep-th]. 10.1016/j.physletb.2010.02.017. Phys.Lett. B686 (2010) 44-48.

28) Finite-time future singularities in modified Gauss-Bonnet and F(R,G) gravity and singularity avoidance By Kazuharu Bamba, Sergei D. Odintsov, Lorenzo Sebastiani, Sergio Zerbini. arXiv:0911.4390 [hep-th]. 10.1140/epjc/s10052-010-1292-8. Eur.Phys.J. C67 (2010) 295-310. 29) Reconstruction and deceleration-acceleration transitions in modified gravity By Shin'ichi Nojiri, Sergei D. Odintsov, Alexey Toporensky, Petr Tretyakov. arXiv:0912.2488 [hep-th]. 10.1007/s10714-010-0977-5. Gen.Rel.Grav. 42 (2010) 1997-2008. 30) Reconstructing cosmological solutions in F(R) gravity. Towards a unified model of the Universe evolution By Diego Saez-Gomez. arXiv:0912.4211 [hep-th]. 10.1088/1742-6596/229/1/012066. J.Phys.Conf.Ser. 229 (2010) 012066. 31) LambdaCDM epoch reconstruction from F(R,G) and modified Gauss-Bonnet gravities By E. Elizalde, R. Myrzakulov, V.V. Obukhov, D. Saez-Gomez. arXiv:1001.3636 [gr-qc]. 10.1088/0264-9381/27/9/095007. Class.Quant.Grav. 27 (2010) 095007. 32) Modified F(R) Horava-Lifshitz gravity: a way to accelerating FRW cosmology By Masud Chaichian, Shin'ichi Nojiri, Sergei D. Odintsov, Markku Oksanen, Anca Tureanu. arXiv:1001.4102 [hep-th]. 10.1088/0264-9381/29/15/159501, 10.1088/0264-9381/27/18/185021. Class.Quant.Grav. 27 (2010) 185021, Erratum-ibid. 29 (2012) 159501. 33) Cardy-Verlinde formula in FRW Universe with inhomogeneous generalized fluid and dynamical entropy bounds near the future singularity By Iver Brevik, Shinichi Nojiri, Sergei D. Odintsov, Diego Saez-Gomez. arXiv:1002.1942 [hep-th]. 10.1140/epjc/s10052-010-1425-0. Eur.Phys.J. C69 (2010) 563-574. 34) Casimir effect for parallel plates in de Sitter spacetime By E. Elizalde, A.A. Saharian, T.A. Vardanyan. arXiv:1002.2846 [hep-th]. 10.1103/PhysRevD.81.124003. Phys.Rev. D81 (2010) 124003. 35) Crossing of Phantom Divide in $F(R)$ Gravity By Kazuharu Bamba, Chao-Qiang Geng, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1003.0769 [hep-th]. 10.1142/S0217732310000058. Mod.Phys.Lett. A25 (2010) 900-908.

36) Modified first-order Horava-Lifshitz gravity: Hamiltonian analysis of the general theory and accelerating FRW cosmology in power-law F(R) model By Sante Carloni, Masud Chaichian, Shin'ichi Nojiri, Sergei D. Odintsov, Markku Oksanen, Anca Tureanu. arXiv:1003.3925 [hep-th]. 10.1103/PhysRevD.85.129904, 10.1103/PhysRevD.82.065020. Phys.Rev. D82 (2010) 065020, Erratum-ibid. D85 (2012) 129904. 37) Dark energy from modified gravity with Lagrange multipliers By Salvatore Capozziello, Jiro Matsumoto, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1004.3691 [hep-th]. 10.1016/j.physletb.2010.08.030. Phys.Lett. B693 (2010) 198-208. 38) A proposal for covariant renormalizable field theory of gravity By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1004.3613 [hep-th]. 10.1016/j.physletb.2010.06.007. Phys.Lett. B691 (2010) 60-64. 39) Reconstructing cosmic acceleration from modified and non-minimal gravity: The Yang-Mills case By E. Elizalde, A.J. Lopez-Revelles. arXiv:1004.5021 [hep-th]. 10.1103/PhysRevD.82.063504. Phys.Rev. D82 (2010) 063504. 40) On the LCDM Universe in f(R) gravity By Peter K.S. Dunsby, Emilo Elizalde, Rituparno Goswami, Sergei Odintsov, Diego Saez Gomez. arXiv:1005.2205 [gr-qc]. 10.1103/PhysRevD.82.023519. Phys.Rev. D82 (2010) 023519. 41) Unifying inflation with dark energy in modified F(R) Horava-Lifshitz gravity By E. Elizalde, S. Nojiri, S.D. Odintsov, D. Saez-Gomez. arXiv:1006.3387 [hep-th]. 10.1140/epjc/s10052-010-1455-7. Eur.Phys.J. C70 (2010) 351-361. 42) Comment on `Semitransparency effects in the moving mirror model for Hawking radiation' By Emilio Elizalde, Jaume Haro. 10.1103/PhysRevD.81.128701. Phys.Rev. D81 (2010) 128701. 43) Black hole and de Sitter solutions in a covariant renormalizable field theory of gravity By G. Cognola, E. Elizalde, L. Sebastiani, S. Zerbini. arXiv:1007.4676 [hep-th]. 10.1103/PhysRevD.83.063003. Phys.Rev. D83 (2011) 063003. 44) Covariant power-counting renormalizable gravity: Lorentz symmetry breaking and accelerating early-time FRW universe

By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1007.4856 [hep-th]. 10.1103/PhysRevD.83.023001. Phys.Rev. D83 (2011) 023001. 45) Non-singular modified gravity unifying inflation with late-time acceleration and universality of viscous ratio bound in F(R) theory By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1008.4275 [hep-th]. 10.1143/PTPS.190.155. Prog.Theor.Phys.Suppl. 190 (2011) 155-178. 46) On the $\Lambda$CDM Universe in $f(G)$ gravity By Ratbay Myrzakulov, Diego Saez-Gomez, Anca Tureanu. arXiv:1009.0902 [gr-qc]. 10.1007/s10714-011-1149-y. Gen.Rel.Grav. 43 (2011) 1671-1684. 47) Matter couplings in Horava-Lifshitz and their cosmological applications By Sante Carloni, Emilio Elizalde, Pedro J. Silva. arXiv:1009.5319 [hep-th]. 10.1088/0264-9381/28/19/195002. Class.Quant.Grav. 28 (2011) 195002. 48) Screening of cosmological constant in non-local gravity By Shin'ichi Nojiri, Sergei D. Odintsov, Misao Sasaki, Ying-li Zhang. arXiv:1010.5375 [gr-qc]. 10.1016/j.physletb.2010.12.035. Phys.Lett. B696 (2011) 278-282. 49) Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1011.0544 [gr-qc]. 10.1016/j.physrep.2011.04.001. Phys.Rept. 505 (2011) 59-144. 50) Stability of cosmological solutions in F(R) Horava-Lifshitz gravity By Diego Saez-Gomez. arXiv:1011.2090 [hep-th]. 10.1103/PhysRevD.83.064040. Phys.Rev. D83 (2011) 064040. 51) On Isotropic Turbulence in the Dark Fluid Universe By Iver Brevik, Olesya Gorbunova, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1011.6255 [hep-th]. 10.1140/epjc/s10052-011-1629-y. Eur.Phys.J. C71 (2011) 1629. 52) U(1) Invariant F(R)$ Horava-Lifshitz Gravity By J. Kluson, S. Nojiri, S.D. Odintsov, D. Saez-Gomez. arXiv:1012.0473 [hep-th].

10.1140/epjc/s10052-011-1690-6. Eur.Phys.J. C71 (2011) 1690. 53) Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion By E. Elizalde, S. Nojiri, S.D. Odintsov, L. Sebastiani, S. Zerbini. arXiv:1012.2280 [hep-th]. 10.1103/PhysRevD.83.086006. Phys.Rev. D83 (2011) 086006. 54) Hydrostatic equilibrium and stellar structure in f(R)-gravity By S. Capozziello, M. De Laurentis, S.D. Odintsov, A. Stabile. arXiv:1101.0219 [gr-qc]. 10.1103/PhysRevD.83.064004. Phys.Rev. D83 (2011) 064004. 55) Time-dependent matter instability and star singularity in $F(R)$ gravity By Kazuharu Bamba, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1101.2820 [gr-qc]. 10.1016/j.physletb.2011.03.038. Phys.Lett. B698 (2011) 451-456. 56) Fermionic condensate and Casimir densities in the presence of compact dimensions with applications to nanotubes By E. Elizalde, S.D. Odintsov, A.A. Saharian. arXiv:1102.2202 [hep-th]. 10.1103/PhysRevD.83.105023. Phys.Rev. D83 (2011) 105023. 57) Repulsive Casimir forces and alternatives to Einsteinian gravity By E. Elizalde. 10.1142/S0217751X10049621. Int.J.Mod.Phys. A25 (2010) 2345-2354. 58) Universal procedure to cure future singularities of dark energy models By A.J. Lopez-Revelles, E. Elizalde. arXiv:1104.1123 [hep-th]. 10.1007/s10714-011-1305-4. Gen.Rel.Grav. 44 (2012) 751-770. 59) Screening of cosmological constant for De Sitter Universe in non-local gravity, phantom-divide crossing and finite-time future singularities By Kazuharu Bamba, Shinichi Nojiri, Sergei D. Odintsov, Misao Sasaki. arXiv:1104.2692 [hep-th]. 10.1007/s10714-012-1342-7. Gen.Rel.Grav. 44 (2012) 1321-1356. 60) $f(R,T)$ gravity By Tiberiu Harko, Francisco S.N. Lobo, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1104.2669 [gr-qc]. 10.1103/PhysRevD.84.024020. Phys.Rev. D84 (2011) 024020.

61) AdS solutions in gauge supergravities and the global anomaly for the product of complex two-cycles By A.A. Bytsenko, E. Elizalde. arXiv:1105.0309 [math-ph]. 10.1140/epjc/s10052-011-1592-7. Eur.Phys.J. C71 (2011) 1592. 62) Covariant Lagrange multiplier constrained higher derivative gravity with scalar projectors By Josef Kluson, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1104.4286 [hep-th]. 10.1016/j.physletb.2011.05.025. Phys.Lett. B701 (2011) 117-126. 63) Scalar-tensor representation of $f(R)$ gravity and Birkhoff's theorem By Salvatore Capozziello, Diego Saez-Gomez. arXiv:1107.0948 [gr-qc]. 10.1002/andp.201100244. Annalen Phys. 524 (2012) 279-285. 64) Fate of the phantom dark energy universe in semiclassical gravity By Jaume Haro, Jaume Amoros, Emilio Elizalde. 10.1103/PhysRevD.83.123528. Phys.Rev. D83 (2011) 123528. 65) Domain wall solution in $F(R)$ gravity and variation of the fine structure constant By Kazuharu Bamba, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1107.2538 [hep-th]. 10.1103/PhysRevD.85.044012. Phys.Rev. D85 (2012) 044012. 66) Viscous Little Rip Cosmology By I. Brevik, E. Elizalde, S. Nojiri, S.D. Odintsov. arXiv:1107.4642 [hep-th]. 10.1103/PhysRevD.84.103508. Phys.Rev. D84 (2011) 103508. 67) Models for Little Rip Dark Energy By Paul H. Frampton, Kevin J. Ludwick, Shin'ichi Nojiri, Sergei D. Odintsov, Robert J. Scherrer. arXiv:1108.0067 [hep-th]. 10.1016/j.physletb.2012.01.048. Phys.Lett. B708 (2012) 204-211. 68) Oscillations of the F(R) dark energy in the accelerating universe By E. Elizalde, S.D. Odintsov, L. Sebastiani, S. Zerbini. arXiv:1108.6184 [gr-qc]. 10.1140/epjc/s10052-011-1843-7. Eur.Phys.J. C72 (2012) 1843. 69) On Asymptotic Darkness in Ho\v{r}ava-Lifshitz Gravity By Emilio Elizalde, Pedro J. Silva. arXiv:1110.0036 [hep-th].

10.1007/JHEP06(2012)049. JHEP 1206 (2012) 049. 70) Could the dynamical Lorentz symmetry breaking induce the superluminal neutrinos? By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1110.0889 [hep-ph]. 10.1140/epjc/s10052-011-1801-4. Eur.Phys.J. C71 (2011) 1801. 71) De Sitter Universe in Non-local Gravity By E. Elizalde, E.O. Pozdeeva, S.Yu. Vernov. arXiv:1110.5806 [astro-ph.CO]. 10.1103/PhysRevD.85.044002. Phys.Rev. D85 (2012) 044002. 72) Scalar-tensor theory with Lagrange multipliers: a way of understanding the cosmological constant problem, and future singularities By Diego Saez-Gomez. arXiv:1110.6033 [hep-th]. 10.1103/PhysRevD.85.023009. Phys.Rev. D85 (2012) 023009. 73) Stability of Accelerating Cosmology in Two Scalar-Tensor Theory: Little Rip versus de Sitter By Yusaku Ito, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1111.5389 [hep-th]. 10.3390/e14081578. Entropy 14 (2012) 1578-1605. 74) Jeans analysis of self-gravitating systems in f(R)-gravity By S. Capozziello, M. De Laurentis, I. De Martino, M. Formisano, S.D. Odintsov. arXiv:1112.0761 [gr-qc]. 10.1103/PhysRevD.85.044022. Phys.Rev. D85 (2012) 044022. 75) On the stability of the cosmological solutions in $f(R,G)$ gravity By Alvaro de la Cruz-Dombriz, Diego Saez-Gomez. arXiv:1112.4481 [gr-qc]. 10.1088/0264-9381/29/24/245014. Class.Quant.Grav. 29 (2012) 245014. 76) Gravitational particle production in massive chaotic inflation and the moduli problem By Jaume de Haro, Emilio Elizalde. arXiv:1201.1227 [gr-qc]. 10.1103/PhysRevLett.108.061303. Phys.Rev.Lett. 108 (2012) 061303. 77) Phantom Cosmology without Big Rip Singularity By Artyom V. Astashenok, Shinichi Nojiri, Sergei D. Odintsov, Artyom V. Yurov. arXiv:1201.4056 [gr-qc]. 10.1016/j.physletb.2012.02.039. Phys.Lett. B709 (2012) 396-403.

78) Cosmological models with Yang-Mills fields By E. Elizalde, A.J. Lopez-Revelles, S.D. Odintsov, S.Yu. Vernov. arXiv:1201.4302 [hep-th]. 10.1134/S1063778813080097. Phys.Atom.Nucl. 76 (2013) 996-1003. 79) Ekpyrotic universes in $F(R)$ Ho\v{r}ava-Lifshitz gravity By A.J. Lopez-Revelles, Ratbay Myrzakulov, Diego Saez-Gomez. arXiv:1201.5647 [gr-qc]. 10.1103/PhysRevD.85.103521. Phys.Rev. D85 (2012) 103521. 80) Stability of de Sitter Solutions in Non-local Cosmological Models By Emilio Elizalde, Ekaterina O. Pozdeeva, Sergey Yu. Vernov. arXiv:1202.0178 [gr-qc]. PoS QFTHEP2011 (2013) 038. 81) Spontaneous magnetization of the vacuum and the strength of the magnetic field in the hot Universe By E. Elizalde, V. Skalozub. arXiv:1202.3895 [hep-ph]. 10.1140/epjc/s10052-012-1968-3. Eur.Phys.J. C72 (2012) 1968. 82) Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics By Kazuharu Bamba, Ratbay Myrzakulov, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1202.4057 [gr-qc]. 10.1103/PhysRevD.85.104036. Phys.Rev. D85 (2012) 104036. 83) Scalar dark energy models mimicking $\Lambda$CDM with arbitrary future evolution By Artyom V. Astashenok, Shin'ichi Nojiri, Sergei D. Odintsov, Robert J. Scherrer. arXiv:1203.1976 [gr-qc]. 10.1016/j.physletb.2012.06.017. Phys.Lett. B713 (2012) 145-153. 84) Sudden singularities in semiclassical gravity By Jaime de Haro, Jaume Amoros, Emilio Elizalde. arXiv:1204.4039 [gr-qc]. 10.1103/PhysRevD.85.123527. Phys.Rev. D85 (2012) 123527. 85) Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests By Kazuharu Bamba, Salvatore Capozziello, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1205.3421 [gr-qc]. 10.1007/s10509-012-1181-8. Astrophys.Space Sci. 342 (2012) 155-228. 86) Zeta function regularization in Casimir effect calculations and J.S. Dowker's contribution By Emilio Elizalde.

arXiv:1205.7032 [math-ph]. 10.1142/S0217751X12600056, 10.1142/S2010194512007234. Int.J.Mod.Phys. A27 (2012) 1260005, Int.J.Mod.Phys.Conf.Ser. 14 (2012) 57-72. 87) String Partition Functions, Hilbert Schemes, and Affine Lie Algebra Representations on Homology Groups By Loriano Bonora, Andrey Bytsenko, Emilio Elizalde. arXiv:1206.0664 [hep-th]. 10.1088/1751-8113/45/37/374002. J.Phys. A45 (2012) 374002. 88) Equation-of-state formalism for dark energy models on the brane and the future of brane universes By Artyom V. Astashenok, Emilio Elizalde, Sergei D. Odintsov, Artyom V. Yurov. arXiv:1206.2192 [gr-qc]. 10.1140/epjc/s10052-012-2260-2. Eur.Phys.J. C72 (2012) 2260. 89) Multiple $\Lambda$CDM cosmology with string landscape features and future singularities By E. Elizalde, A.N. Makarenko, S. Nojiri, V.V. Obukhov, S.D. Odintsov. arXiv:1206.2702 [gr-qc]. 10.1007/s10509-012-1339-4. Astrophys.Space Sci. 344 (2013) 479-488. 90) Hamiltonian dynamics and Noether symmetries in Extended Gravity Cosmology By Salvatore Capozziello, Mariafelicia De Laurentis, Sergei D. Odintsov. arXiv:1206.4842 [gr-qc]. 10.1140/epjc/s10052-012-2068-0. Eur.Phys.J. C72 (2012) 2068. 91) On the fate of the phantom dark energy universe in semiclassical gravity II: Scalar phantom fields By Jaume de Haro, Jaume Amoros, Emilio Elizalde. arXiv:1206.6948 [gr-qc]. 10.1103/PhysRevD.86.083528. Phys.Rev. D86 (2012) 083528. 92) Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era By Kazuharu Bamba, Antonio Lopez-Revelles, R. Myrzakulov, S.D. Odintsov, L. Sebastiani. arXiv:1207.1009 [gr-qc]. 10.1088/0264-9381/30/1/015008. Class.Quant.Grav. 30 (2013) 015008. 93) Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories By A. de la Cruz-Dombriz, D. Saez-Gomez. arXiv:1207.2663 [gr-qc]. 10.3390/e14091717. Entropy 14 (2012) 1717-1770.

94) Ghost-free $F(R)$ bigravity and accelerating cosmology By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1207.5106 [hep-th]. 10.1016/j.physletb.2012.08.049. Phys.Lett. B716 (2012) 377-383. 95) Cosmological evolution, future singularities and Little Rip in viable f(R) theories and their scalar-tensor counterpart By Diego Saez-Gomez. arXiv:1207.5472 [gr-qc]. 10.1088/0264-9381/30/9/095008. Class.Quant.Grav. 30 (2013) 095008. 96) Topological electro-vacuum solutions in extended gravity By Guido Cognola, Emilio Elizalde, Lorenzo Sebastiani, Sergio Zerbini. arXiv:1208.2540 [gr-qc]. 10.1103/PhysRevD.86.104046. Phys.Rev. D86 (2012) 104046. 97) Turbulence and Little Rip Cosmology By I. Brevik, R. Myrzakulov, S. Nojiri, S.D. Odintsov. arXiv:1208.4770 [gr-qc]. 10.1103/PhysRevD.86.063007. Phys.Rev. D86 (2012) 063007. 98) Low bound on a magnetic field strength in the hot universe By E. Elizalde, V. Skalozub. Prob.Atomic Sci.Technol. 2012N1 (2012) 143-146. 99) Reconstruction Procedure in Nonlocal Models By E. Elizalde, E.O. Pozdeeva, S.Yu. Vernov. arXiv:1209.5957 [astro-ph.CO]. 10.1088/0264-9381/30/3/035002. Class.Quant.Grav. 30 (2013) 035002. 100) Confronting dark energy models mimicking $\Lambda$CDM epoch with observational constraints: future cosmological perturbations decay or future Rip? By Artyom V. Astashenok, Sergei D. Odintsov. arXiv:1211.1888 [gr-qc]. 10.1016/j.physletb.2012.12.058. Phys.Lett. B718 (2013) 1194-1202. 101) Future Singularities and Teleparallelism in Loop Quantum Cosmology By Kazuharu Bamba, Jaume de Haro, Sergei D. Odintsov. arXiv:1211.2968 [gr-qc]. 10.1088/1475-7516/2013/02/008. JCAP 1302 (2013) 008. 102) Variety of cosmic acceleration models from massive $F(R)$ bigravity By Shin'ichi Nojiri, Sergei D. Odintsov, Norihito Shirai. arXiv:1212.2079 [hep-th]. 10.1088/1475-7516/2013/05/020.

JCAP 1305 (2013) 020. 103) The cosmological constant as an eigenvalue of a Sturm-Liouville problem By Artyom V. Astashenok, Emilio Elizalde, Artyom V. Yurov. arXiv:1212.4268 [astro-ph.CO]. 10.1007/s10509-013-1606-z. Astrophys.Space Sci. 349 (2014) 25-32. 104) Anti-Evaporation of Schwarzschild-de Sitter Black Holes in $F(R)$ gravity By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1301.2775 [hep-th]. 10.1088/0264-9381/30/12/125003. Class.Quant.Grav. 30 (2013) 125003. 105) The Casimir effect in topological field theory: Case of elliptic genera By A.A. Bytsenko, E. Elizalde, R.M. Luna. PoS ICMP2012 (2012) 008. 106) Brane cosmology from observational surveys and its comparison with standard FRW cosmology By Artyom V. Astashenok, Emilio Elizalde, Jaume de Haro, Sergei D. Odintsov, Artyom V. Yurov. arXiv:1301.6344 [gr-qc]. 10.1007/s10509-013-1484-4. Astrophys.Space Sci. 347 (2013) 1-13. 107) One-loop Euclidean Einstein-Weyl gravity in the de Sitter universe By Guido Cognola, Emilio Elizalde, Sergio Zerbini. arXiv:1301.6269 [gr-qc]. 10.1103/PhysRevD.87.044027. Phys.Rev. D87 (2013) 4, 044027. 108) Gauss-Bonnet dark energy by Lagrange multipliers By Salvatore Capozziello, Andrey N. Makarenko, Sergei D. Odintsov. arXiv:1302.0093 [gr-qc]. 10.1103/PhysRevD.87.084037. Phys.Rev. D87 (2013) 8, 084037. 109) Dynamics of scalar perturbations in f(R,T) gravity By F.G. Alvarenga, A. de la Cruz-Dombriz, M.J.S. Houndjo, M.E. Rodrigues, D. Saez-Gomez. arXiv:1302.1866 [gr-qc]. 10.1103/PhysRevD.87.103526. Phys.Rev. D87 (2013) 103526. 110) Fermionic Casimir densities in anti-de Sitter spacetime By E. Elizalde, Sergei D. Odintsov, A.A. Saharian. arXiv:1302.2801 [hep-th]. 10.1103/PhysRevD.87.084003. Phys.Rev. D87 (2013) 084003. 111) Cosmological Solutions of a Nonlocal Model with a Perfect Fluid By Emilio Elizalde, Ekaterina O. Pozdeeva, Sergey Yu. Vernov, Ying-li Zhang. arXiv:1302.4330 [hep-th].

10.1088/1475-7516/2013/07/034. JCAP 1307 (2013) 034. 112) On Partition Functions of Hyperbolic Three-Geometry and Associated Hilbert Schemes By A.A. Bytsenko, E. Elizalde. arXiv:1303.2265 [math-ph]. In K. Alladi, G.V. Milovanovic and M. Th. Rassias, Eds., Analytic Number Theory, Approximation Theory and Special Functions (Springer Verlag, New York, 2013), pp 131-148. 113) f(R, T, R_\mu\nu T^\mu\nu) gravity phenomenology and \Lambda CDM universe By Sergei D. Odintsov, Diego Sáez-Gómez. arXiv:1304.5411 [gr-qc]. 10.1016/j.physletb.2013.07.026. Phys.Lett. B725 (2013) 437-444. 114) Effective $F(T)$ gravity from the higher-dimensional Kaluza-Klein and Randall-Sundrum theories By Kazuharu Bamba, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1304.6191 [gr-qc]. 10.1016/j.physletb.2013.07.052. Phys.Lett. B725 (2013) 368-371. 116) Bouncing loop quantum cosmology from $F(T)$ gravity By Jaume Amorós, Jaume de Haro, Sergei D. Odintsov. arXiv:1305.2344 [gr-qc]. 10.1103/PhysRevD.87.104037. Phys.Rev. D87 (2013) 10, 104037. 117) The instabilities and (anti)-evaporation of Schwarzschild-de Sitter black holes in modified gravity By L. Sebastiani, D. Momeni, R. Myrzakulov, S.D. Odintsov. arXiv:1305.4231 [gr-qc]. 10.1103/PhysRevD.88.104022. Phys.Rev. D88 (2013) 104022. 118) Conformal symmetry and accelerating cosmology in teleparallel gravity By Kazuharu Bamba, Sergei D. Odintsov, Diego Sáez-Gómez. arXiv:1308.5789 [gr-qc]. 10.1103/PhysRevD.88.084042. Phys.Rev. D88 (2013) 084042. 119) Further stable neutron star models from f(R) gravity By Artyom V. Astashenok, Salvatore Capozziello, Sergei D. Odintsov. arXiv:1309.1978 [gr-qc]. 10.1088/1475-7516/2013/12/040. JCAP 1312 (2013) 040. 120) New proposal for non-linear ghost-free massive $F(R)$ gravity: Cosmic acceleration and Hamiltonian analysis By Josef Klusoň, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1309.2185 [hep-th]. 10.1016/j.physletb.2013.10.003.

Phys.Lett. B726 (2013) 918-925. 121) No further gravitational wave modes in $F(T)$ gravity By Kazuharu Bamba, Salvatore Capozziello, Mariafelicia De Laurentis, Shin'ichi Nojiri, Diego Sáez-Gómez. arXiv:1309.2698 [gr-qc]. 10.1016/j.physletb.2013.10.022. Phys.Lett. B727 (2013) 194-198. 122) Bounce cosmology from $F(R)$ gravity and $F(R)$ bigravity By Kazuharu Bamba, Andrey N. Makarenko, Alexandr N. Myagky, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1309.3748 [hep-th]. 10.1088/1475-7516/2014/01/008. JCAP01(2014)008. 123) An analysis of the phase space of Hořava-Lifshitz cosmologies By Sante Carloni, Emilio Elizalde, Pedro J. Silva. 10.1007/978-3-642-19760-4_12. Springer Proc.Phys. 137 (2011) 139-148. 124) Nearly Starobinsky inflation from modified gravity By L. Sebastiani, G. Cognola, R. Myrzakulov, S.D. Odintsov, S. Zerbini. arXiv:1311.0744 [gr-qc]. 10.1103/PhysRevD.89.023518. Phys.Rev. D89 (2014) 023518. 125) Numerical solutions of the modified Lane-Emden equation in f(R)-gravity By R. Farinelli, M. De Laurentis, S. Capozziello, S.D. Odintsov. arXiv:1311.2744 [astro-ph.SR]. 10.1093/mnras/stu423. Mon.Not.Roy.Astron.Soc. 440 (2014) 2909. 126) Possible antigravity regions in $F(R)$ theory? By Kazuharu Bamba, Shin'ichi Nojiri, Sergei D. Odintsov, Diego Sáez-Gómez. arXiv:1401.1328 [hep-th]. 10.1016/j.physletb.2014.01.045. Phys.Lett. B730 (2014) 136-140. 127) Maximal neutron star mass and the resolution of the hyperon puzzle in modified gravity By Artyom V. Astashenok, Salvatore Capozziello, Sergei D. Odintsov. arXiv:1401.4546 [gr-qc]. 10.1103/PhysRevD.89.103509. Phys.Rev. D89 (2014) 10, 103509. 128) Trace-anomaly driven inflation in $f(T)$ gravity and in minimal massive bigravity By Kazuharu Bamba, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1401.7378 [gr-qc]. 10.1016/j.physletb.2014.02.041. Phys.Lett. B731 (2014) 257-264. 129) $R+\alpha R^2$ Loop Quantum Cosmology By Jaume Amorós, Jaume de Haro, Sergei D. Odintsov. arXiv:1402.3071 [gr-qc]. 10.1103/PhysRevD.89.104010. Phys.Rev. D89 (2014) 10, 104010. 130) Universe acceleration in modified gravities: $F(R)$ and $F(T)$ cases

By Kazuharu Bamba, Sergei D. Odintsov. arXiv:1402.7114 [hep-th]. 131) Bouncing cosmology in modified Gauss-Bonnet gravity By Kazuharu Bamba, Andrey N. Makarenko, Alexandr N. Myagky, Sergei D. Odintsov. arXiv:1403.3242 [hep-th]. 10.1016/j.physletb.2014.04.004. Phys.Lett. B732 (2014) 349-355. 132) Trace-anomaly driven inflation in modified gravity and the BICEP2 result By Kazuharu Bamba, R. Myrzakulov, S.D. Odintsov, L. Sebastiani. arXiv:1403.6649 [hep-th]. 10.1103/PhysRevD.90.043505. Phys.Rev. D90 (2014) 043505. 133) Born-Infeld-$f(R)$ gravity By Andrey N. Makarenko, Sergei Odintsov, Gonzalo J. Olmo. arXiv:1403.7409 [hep-th]. 10.1103/PhysRevD.90.024066. Phys.Rev. D90 (2014) 024066. 134) Little Rip, $\Lambda$CDM and singular dark energy cosmology from Born-Infeld-$f(R)$ gravity By Andrey N. Makarenko, Sergei D. Odintsov, Gonzalo J. Olmo. arXiv:1404.2850 [gr-qc]. 10.1016/j.physletb.2014.05.024. Phys.Lett. B734 (2014) 36-40. 135) One-loop Modified Gravity in de Sitter Universe, Quantum Corrected Inflation, and its Confrontation with the Planck Result By Kazuharu Bamba, Guido Cognola, Sergei D. Odintsov, Sergio Zerbini. arXiv:1404.4311 [gr-qc]. 10.1103/PhysRevD.90.023525. Phys.Rev. D90 (2014) 023525. 136) Finite-Time Future Singularities and Related Cosmologies in Modified Gravitational Theories By Kazuharu Bamba, Ratbay Myrzakulov, Shin'Ichi Nojiri, Sergei D. Odintsov, Misao Sasaki. 10.1142/9789814566254_0043. 137) Aspects of Nonlocal Models of Modified Einsteinian Gravity By Emilio Elizalde. PoS ICMP2013 (2013) 002. 138) Instabilities and anti-evaporation of Reissner–Nordström black holes in modified $F(R)$ gravity By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1405.2439 [gr-qc]. 10.1016/j.physletb.2014.06.070. Phys.Lett. B735 (2014) 376-382. 139) Magnetic Neutron Stars in f(R) gravity By Artyom V. Astashenok, Salvatore Capozziello, Sergei D. Odintsov. arXiv:1405.6663 [gr-qc]. 140) Born-Infeld gravity and its functional extensions By Sergei D. Odintsov, Gonzalo J. Olmo, D. Rubiera-Garcia. arXiv:1406.1205 [hep-th]. 10.1103/PhysRevD.90.044003.

Phys.Rev. D90 (2014) 044003. 141) Reconstruction of scalar field theories realizing inflation consistent with the Planck and BICEP2 results By Kazuharu Bamba, Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1406.2417 [hep-th]. 10.1016/j.physletb.2014.09.014. Phys.Lett. B737 (2014) 374-378. 142) Noether Symmetry Approach in Gauss-Bonnet Cosmology By Salvatore Capozziello, Mariafelicia De Laurentis, Sergei D. Odintsov. arXiv:1406.5652 [gr-qc]. 10.1142/S0217732314501648. Mod.Phys.Lett. A29 (2014) 30, 1450164. 143) Inhomogeneous viscous dark fluid coupled with dark matter in the FRW universe By E. Elizalde, V.V. Obukhov, A.V. Timoshkin. arXiv:1406.7653 [gr-qc]. 10.1142/S0217732314501326. Mod.Phys.Lett. A29 (2014) 25, 1450132. 144) On a family of non-local gravity models By Emilio Elizalde. 10.1063/1.4891146. AIP Conf.Proc. 1606 (2014) 304-312. 145) Inflationary Parameters in Renormalization Group Improved $\phi^4$ Theory By Collaboration (Tomohiro Inagaki et al.). arXiv:1408.1270 [gr-qc]. 10.1007/s10509-014-2108-3. 146) Renormalization-group improved inflationary scalar electrodynamics and SU(5) scenarios confronted with Planck 2013 and BICEP2 results By E. Elizalde, S.D. Odintsov, E.O. Pozdeeva, S. Yu. Vernov. arXiv:1408.1285 [hep-th]. 10.1103/PhysRevD.90.084001. Phys.Rev. D90 (2014) 8, 084001. 147) Functional Determinant of the Massive Laplace Operator and the Multiplicative Anomaly By G. Cognola, E. Elizalde, S. Zerbini. arXiv:1408.1766 [hep-th]. 148) Mimetic $F(R)$ gravity: inflation, dark energy and bounce By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1408.3561 [hep-th]. 149) Extreme neutron stars from Extended Theories of Gravity By Artyom V. Astashenok, Salvatore Capozziello, Sergei D. Odintsov. arXiv:1408.3856 [gr-qc]. 150) Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data By Kazuharu Bamba, Shin'ichi Nojiri, Sergei D. Odintsov, Diego Sáez-Gómez. arXiv:1410.3993 [hep-th]. 151) Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity

By S.D. Odintsov, V.K. Oikonomou. arXiv:1410.8183 [gr-qc]. 152) Quasi-matter domination parameters in bouncing cosmologies By Emili Elizalde, Jaume Haro, Sergei D. Odintsov. arXiv:1411.3475 [gr-qc]. 153) Bounce universe from string-inspired Gauss-Bonnet gravity By Kazuharu Bamba, Andrey N. Makarenko, Alexandr N. Myagky, Sergei D. Odintsov. arXiv:1411.3852 [hep-th]. 154) Early-time cosmic dynamics in $f(R)$ and $f(|\hat\Omega|)$ extensions of Born-Infeld gravity By Andrey N. Makarenko, Sergei D. Odintsov, Gonzalo J. Olmo, Diego Rubiera-Garcia. arXiv:1411.6193 [gr-qc]. 155) Inflationary universe from higher-derivative quantum gravity By Ratbay Myrzakulov, Sergei Odintsov, Lorenzo Sebastiani. arXiv:1412.1073 [gr-qc]. 156) Inflation without self-reproduction in $F(R)$ gravity By Shin'ichi Nojiri, Sergei D. Odintsov. arXiv:1412.2518 [gr-qc]. 157) Nonperturbative models of quark stars in $f(R)$ gravity By A.V. Astashenok, S. Capozziello, S.D. Odintsov. arXiv:1412.5453 [gr-qc]. PhD Thesis defended in the group: Mr. Miquel Tierz, title of the PhD Thesis: “Random Matrix Models in Chern-Simons Theory”. Got best mark available: ``excellent cum laude''. University of Barcelona. Date: 02/06/2008. Director: Prof. Emilio Elizalde. Mr. Diego Sáez Gómez, title of the PhD Thesis: “On Friedmann-Lemaître-Robertson-Walker cosmologies in non-standard gravity”. Got best mark available: ``excellent cum laude''. University of Barcelona. Date: 31/03/2011. Director: Profs. Emilio Elizalde and Sergei Odintsov. Got the “Extraordinary Award” to the Best PhD Thesis of the Year. Mr. Antonio Jesús López Revelles, title of the PhD Thesis: “Theories of modified gravity and reconstruction schemes of cosmological models”. Got best mark available: ``excellent cum laude''. University of Barcelona. Date: 08/11/2013. Director: Profs. Emilio Elizalde and Sergei Odintsov.

Master Thesis defended in the group: Mr. Antonio Jesús López Revelles, title of the Master Thesis: “New Cosmological Models”. Got best mark available: ``excellent''. University of Barcelona. Date: 28/01/2010. Director: Prof. Emilio Elizalde. Mr. Bantipo Kamoua Kolani, title of the Master Thesis: “An alternative formulation of energy transmission and its possible relevance to the dark energy problem”. Autonomous University of Barcelona. Date: 26/09/2012. Director: Prof. Emilio Elizalde. Mr. Jofre Espigulé Pons, title of the Thesis: “Spectral functions on fractals and their physical applications”. Got best mark available: ``excellent''. Autonomous University of Barcelona. Date: 20/06/2012. Director: Prof. Emilio Elizalde. Visitors: Kirill Bronnikov, Aram Saharian, Iver Brevik, Misao Sasaki, Kazuharu Bamba, Antonino Flachi, Guido Cognola, Sergio Zerbini, Valery Obukhov, Iver Brevik, Masato Minamitsuji, Konstantin Osetrin, Salvatore Capozziello, Jaume de Haro, Maria Felicia de Laurentis, Peter Lavrov, Joseph Buchbinder, Petr V. Tetryakov, Andrei Makarenko, Fabio Briscese, Käre Olaussen, Shin’ishi Nojiri, Irina Ya. Arefeva, John Quiroga, Alexander Burinskii, Oleg Zaslavskii, Michael Bordag, Peter Dunsby, Rituparmo Goswami, Anne Marie Nzoiki, Meruyert Zhassybayeba, Vladimir Skalozub, Pedro González Díaz, Kuanish Zhussupbekov, Artyom Yurov, Artyom V. Astashenok, A. Yurova, Sergi R. Hildebrandt, Andrei A. Bytsenko, Dmitry V. Shirkov, Ratbay Myrzakulov, Ricardo Pérez Marco, Sergey Vernov, Ekaterina Pozdeeva, Sergi R. Hildebrandt Research subjects: Models for the dark energy: f(R), phantom, scalar-tensor Regularization/renormalization processes in QFT, Vacuum Energy fluctuations QFT with Boundary Conditions Casimir Effect, Dynamical Casimir Effect Cosmological applications: the cosmological constant Mathematical methods: pseudo-differential operators, zeta functions, heat-kernels

Some representative papers of the group (full trajectory):

1) Late-time cosmology in (phantom) scalar-tensor theory: Dark energy and the cosmic speed-up. By Emilio Elizalde, Shin'ichi Nojiri, Sergei D. Odintsov. Phys.Rev.D70:043539,2004. [hep-th/0405034]

2) Introduction to modified gravity and gravitational alternative for dark energy. By Shin'ichi Nojiri, Sergei D. Odintsov. Int.J.Geom.Meth.Mod.Phys. 4 (2007) 115 [hep-th/0601213]

3) Heat kernel coefficients of the Laplace operator on the D-dimensional ball. By Michael Bordag, E. Elizalde, K. Kirsten. J.Math.Phys.37:895-916, 1996. [hep-th/9503023]

4) Dark energy: Vacuum fluctuations, the effective phantom phase, and holography. By Emilio Elizalde, Shin'ichi Nojiri, Sergei D. Odintsov, Peng Wang. Phys.Rev.D71:103504, 2005. [hep-th/0502082]

5) Casimir energies for massive fields in the bag. By Michael Bordag, E. Elizalde, K. Kirsten, S. Leseduarte. Phys.Rev.D56:4896-4904, 1997. [hep-th/9608071]

6) One-loop f(R) gravity in de Sitter universe. By Guido Cognola, Emilio Elizalde, Shin'ichi Nojiri, Sergei D. Odintsov, Sergio Zerbini. JCAP 0502:010, 2005. [hep-th/0501096]

7) Casimir energy for a massive fermionic quantum field with a spherical boundary. By E. Elizalde, Michael Bordag, K. Kirsten. J.Phys.A31:1743-1759, 1998. [hep-th/9707083]

8) Dark energy in modified Gauss-Bonnet gravity: Late-time acceleration and the hierarchy problem. By Guido Cognola, Emilio Elizalde, Shin'ichi Nojiri, Sergei D. Odintsov, Sergio Zerbini. Phys.Rev.D73:084007, 2006. [hep-th/0601008]

9) Casimir effect in de Sitter and anti-de Sitter brane worlds. By Emilio Elizalde, Shin'ichi Nojiri, Sergei D. Odintsov, Sachiko Ogushi. Phys.Rev.D67:063515, 2003. [hep-th/0209242]

10) A Class of viable modified f(R) gravities describing inflation and the onset of accelerated expansion. By Guido Cognola, Emilio Elizalde, Shin'ichi Nojiri, Sergei D. Odintsov, L. Sebastiani, Sergio Zerbini. Phys.Rev.D77:046009,2008. [arXiv:0712.4017 [hep-th]]

11) Observational constraints on dark energy with inhomogeneous equations of state. By Salvatore Capozziello, V.F. Cardone, E. Elizalde, S. Nojiri, S.D. Odintsov. Phys.Rev.D73:043512, 2006. [astro-ph/0508350]

12) Modified gravity with negative and positive powers of the curvature: Unification of the inflation and of the cosmic acceleration. By Shin'ichi Nojiri & Sergei D. Odintsov. Phys.Rev.D68:123512, 2003. [hep-th/0307288]

13) Quantum de Sitter cosmology and phantom matter. By Shin'ichi Nojiri & Sergei D. Odintsov. Phys.Lett.B562:147-152, 2003. [hep-th/0303117]

14) Properties of singularities in (phantom) dark energy universe. By Shin'ichi Nojiri, Sergei D. Odintsov, Shinji Tsujikawa. Phys.Rev.D71:063004, 2005. [hep-th/0501025]

15) The Final state and thermodynamics of dark energy universe. By Shin'ichi Nojiri & Sergei D. Odintsov. Phys.Rev.D70:103522, 2004. [hep-th/0408170]