Cosmological Models (Cargèse 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 Cargèse 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 gaugeinvariant and 1+3 covariant perturbation theory of almostFriedmannLemaîtreRobertsonWalker universes, with a fluid description for the matter and a kinetic theory description of the radiation.
 Publication:

NATO Advanced Science Institutes (ASI) Series C
 Pub Date:
 1999
 arXiv:
 arXiv:grqc/9812046
 Bibcode:
 1999ASIC..541....1E
 Keywords:

 Relativistic cosmology;
 1+3 covariant description;
 tetrad description;
 FLRW universes and observational relations;
 solutions with symmetries;
 Bianchi universes;
 almostFLRW universes;
 CBR anisotropies;
 General Relativity and Quantum Cosmology
 EPrint:
 87 pages. Fully hyperlinked. Published in proceedings of the NATO Advanced Study Institute on Theoretical and Observational Cosmology, Carg\`{e}se, France, August 1729, 1998 / edited by Marc Lachi\`{e}zeRey. Boston: Kluwer Academic, 1999. NATO science series. Series C, Mathematical and physical sciences, vol. 541, p.1116