Cosmology III: Evolution and Fate of the Universe

Topics:

• scale factor a, density Omega, redshift z
• Hubble expansion
• fate of universe

Outline:

1 REDSHIFT
1.1 Frequency of Light
    * adiabatic scaling of free lengths
    * radiation density argument
    * Principle of Equivalence argument
    * null geodesics between comoving objects
1.2 Observations of Redshift
    * historical
    * 4 properties: positivity, frequency independence, linearity, isotropy
    * failure of nonexpansion scenarios
1.3 Scaling

2 HUBBLE EXPANSION
    * Weyl's kinematic argument
    * Hubble's Law, triangle relation, and tensor version
    * peculiar motions and spacetime curvature

3 FATE OF THE UNIVERSE
3.1 Curvature
3.2 Deceleration
3.3 Asymptotic Future

4 INTERRELATION OF COSMOLOGICAL TOPICS

Cosmology III Lecture Notes

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