cosmology overview david spergel. lecture outline theme: observations suggest that the simplest...
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Lecture OutlineLecture Outline THEME: Observations suggest that the THEME: Observations suggest that the
simplest cosmological model, a simplest cosmological model, a homogenuous flat universe describes the homogenuous flat universe describes the universe on its largest scalesuniverse on its largest scales
I. General Relativity: Dynamics and Shape of the Universe
II. Metric Theory
III. Evidence for Isotropy
IV. Tests of Metric Theories
V. Open Questions and Future Observations
General Relativity: A ReviewGeneral Relativity: A Review
Space is not absolute. Only relative Space is not absolute. Only relative positions are meaningful.positions are meaningful.
Matter tells space how to curveMatter tells space how to curve Curvature of space tells matter how to Curvature of space tells matter how to
move: particles move on “straight lines”move: particles move on “straight lines”
Matter Distribution determines Matter Distribution determines curvature of spacecurvature of space
Riemann Tensor: Unique combination of second derivatives of metric
Ricci tensor Curvature Scalar
Einstein Equation
Newtonian limit of Einstein equation
GR from Least Action GR from Least Action PrinciplePrinciple
Least Action:
Once you start adding terms, there may be no stopping:
e.g., Carroll et al., astro-ph/0413001
What is this doing here?
Big Bang CosmologyBig Bang Cosmology
Homogeneous, isotropic universe
(flat universe)
Freidmann Equation
HomogeneityHomogeneity
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MAP990045
Microwave Receiver
The Cosmic Microwave Background
and y distortion constraints
CMB is not a grey body! Not a sum of black bodies!
Rulers and Standard CandlesRulers and Standard Candles
Luminosity Distance
Angular Diameter Distance
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