Cosmology and General Relativity
instructor: E. Swanson
office: 411 Allen Hall
course web site: http://fafnir.phyast.pitt.edu/GR
office hours: drop by any time
lectures: 11:00-12:15, Tuesday, 419 Allen Hall
11:00-12:15, Thursday, 319 Allen Hall
Required Text: Cosmology, Steven Weinberg (2008, Oxford University Press)
- A.R. Liddle and D.H. Lyth, Cosmological Inflation and Large-Scale Structure
- E.W. Kolb and M.S. Turner, The Early Universe
- S. Weinberg, Gravitation and Cosmology
Mathematica Tensor Package
Download and save diffgeo.m to your Mathematica Applications folder. Save diffgeoManual.nb somewhere convenient, double-clicking it will call up a mathematica tutorial notebook. If the links fail look here for the files.
The classic papers of GR have been made publicly available (for a short time) by the
- 1. Introduction and Motivation. This follows Chapter 8 of Carroll.
- 2. FRW Cosmology. FRW metric, co-movers, cosmological redshift, standard candles and distance measurements, Friedmann equation and expansion.
- 3. The Microwave Background. Decoupling, dipole anisotropy, the Sunyaev-Zel'dovich effect, the Sachs-Wolfe effect, other sources of CMB anisotropy.
- 4. Baryosynthesis and the Early Universe. Fermi-Dirac and Bose distributions, effective number of species, neutrino masses, Big Bang nucleosynthesis, cold dark matter.
- 5. Inflation. Flatness, horizon, and monopole puzzles, slow-roll inflation, chaotic inflation.
- 6. CMB Anisotropies. Fluctuations and their evolution, vector and tensor modes, Boltzmann equations.
- 7. The Growth of Structure. linear perturbations after recombination, spectral functions, collapse of baryonic matter.
- 8. Inflation and Anisotropies in the CMB. Scalar and tensor fluctuations from inflation.
- 9. Special Topics. Vacuum energy density and the Standard Model, gravity via graviton exchange.
marking scheme: 70% + 30% take home exam