Chapter

Theoretical and Observational Cosmology

Volume 541 of the series NATO Science Series pp 1-116

Cosmological Models

Cargèse Lectures 1998
  • George F. R. EllisAffiliated withCosmology Group Department of Mathematics and Applied Mathematics, University of Cape Town
  • , Henk Van ElstAffiliated withCosmology Group Department of Mathematics and Applied Mathematics, University of Cape Town

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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 [7], 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—LemaîtreRobertson—Walker universes, with a fluid description for the matter and a kinetic theory description of the radiation.