Cosmic Microwave Background Anisotropies up to Second Order

Details Cosmic Microwave Background Anisotropies up to Second Order Cosmic Microwave Background Anisotropies up to Second Order

2007-03-19

arxiv.org/abs/astro-ph/0703496v2

Astronomy and Astrophysics

Astrophysics

53 pages, LaTeX file. Lectures given by S.M. at Les Houches Summer School - Session 86: Particle Physics and Cosmology: The Fa

Scientific paper

These lecture notes present the computation of the full system of Boltzmann equations describing the evolution of the photon, baryon and cold dark matter fluids up to second order in perturbation theory, as recently studied in (Bartolo, Matarrese & Riotto 2006, 2007). These equations allow to follow the time evolution of the cosmic microwave background anisotropies at all angular scales from the early epoch, when the cosmological perturbations were generated, to the present, through the recombination era. The inclusion of second-order contributions is mandatory when one is interested in studying possible deviations from Gaussianity of cosmological perturbations, either of primordial (e.g. inflationary) origin or due to their subsequent evolution. Most of the emphasis in these lectures notes will be given to the derivation of the relevant equations for the study of cosmic microwave background anisotropies and to their analytical solutions.

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