The course is an introduction to modern cosmology, covering theory and providing connections with observational tests.
0 - Introduction: cosmological principle, homogeneity and isotropy, FLRW. Recap of GR (curvatures, geodesics, real and comoving distance, EM tensors and Bianchi identity), DeSitter spaces and FRW with k=0,+-1
1 - FRW equations and solutions (with k=0), Perfect fluid EMT, conservation, Density and scale evolution for matter, radiation, CC, general fluid. Thermal history (epochs, equality, etc), Notions of critical density and acceleration
2 - Cosmic horizons (particle and event horizons), Flatness problem, Luminosity distance, angular distance (Supernovae type I), Cosmological constant (problem of vacuum energy), Effect of CC on the age of the universe
3 - Dark matter for background and perturbation evolution (Jeans and clustering). Perturbations and structure: LSS, CMB (possibly some details, power spectrum)
4 - Problems related to dark matter (galaxies, clusters, simulations, DM candidates, detection), Problem of flatness & homogeneity: concept of inflation
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- Mukhanov V., Physical foundations of cosmology (Cambridge University Press, 2005)
- Kolb E.W., Turner M.S. The early universe (Addison Wesley 1988)
- Dodelson S., Modern Cosmology, (Academic Press, Elsevier, 2003)
- Weinberg S., Cosmology (Oxford University Press, 2008)
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