Cosmological models (Carg\`{e}se lectures 1998)
Abstract
The aim of this set of lectures is a systematic presentation of a 1+3 covariant approach to studying the geometry, dynamics, and observational properties of relativistic cosmological models. In giving (i) the basic 1+3 covariant relations for a cosmological fluid, the present lectures cover some of the same ground as a previous set of Carg\`{e}se lectures \cite{ell73}, but they then go on to give (ii) the full set of corresponding tetrad equations, (iii) a classification of cosmological models with exact symmetries, (iv) a brief discussion of some of the most useful exact models and their observational properties, and (v) an introduction to the gauge-invariant and 1+3 covariant perturbation theory of almost-Friedmann-Lema\^{\i}tre-Robertson-Walker universes, with a fluid description for the matter and a kinetic theory description of the radiation.
Cite
@article{arxiv.gr-qc/9812046,
title = {Cosmological models (Carg\`{e}se lectures 1998)},
author = {George F R Ellis and Henk van Elst},
journal= {arXiv preprint arXiv:gr-qc/9812046},
year = {2008}
}
Comments
87 pages. Fully hyperlinked. Published in proceedings of the NATO Advanced Study Institute on Theoretical and Observational Cosmology, Carg\`{e}se, France, August 17-29, 1998 / edited by Marc Lachi\`{e}ze-Rey. Boston: Kluwer Academic, 1999. NATO science series. Series C, Mathematical and physical sciences, vol. 541, p.1-116