Introduction to the Theory of the Early Universe: Cosmological Perturbations and Inflationary Theory
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For the most part the notation is consistent. You can also find full derivations in Weinberg's Cosmology. Notes by Daniel Baumann are excellent and may also be useful and more similar in content. Early Universe This is a graduate masters level course covering: Recap of hot big bang, FRW model, distances, Hubble law Geodesics, redshifting, energy conservation and Friedman equations in GR Equilibrium distributions and thermal history Boltzmann equation unperturbed , freeze out and relics Problems with the hot big bang Inflation with a scalar field Cosmological perturbation theory Quantum generation of perturbations in inflation Power spectrum predictions from inflation Perturbation evolution and growth after reheating Free streaming and Silk damping Matter power spectrum CMB anisotropies It is expected that you will have done a previous course in General Relativity.
Knowledge of Lagrangian mechanics and quantum field theory is also an advantage, but required results will be quickly introduced when required. Piattella Free download from arXiv, many parts of the course covered. Introduction to Cosmology by Barbara Ryden Updated Slightly lower level, but covers many similar topics plus reminder of the basics Modern Cosmology by Scott Dodelson Updated A good reference, though differences in depth of coverage of different topics The Primordial Density Perturbation by David Lyth and Andrew Liddle Updated Good reference for inflation and perturbations, but going well beyond the level of the course Physical Foundations of Cosmology by Viatcheslav Mukhanov Mostly much more advanced, but Chapter 3 has useful material on thermal history Cosmological Physics by John Peacock From , so getting a bit old, but plenty of useful material Cosmology by Steven Weinberg Does everything from first principles, going significantly further in places.
Maybe a useful reference, but probably not the easiest place to start. Extra off-syllabus material Some of the derivations are rather long, and not included in the notes or lectures, e. Kodama and M. Sasaki, Prog. Bruni, G. Ellis and P. Dunsby, Class. Hwang, Astrophys. Durrer, Helv.
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