Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-12-14
NATOAdv.StudyInst.Ser.C.Math.Phys.Sci.541:1-116,1999
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
87 pages. Fully hyperlinked. Published in proceedings of the NATO Advanced Study Institute on Theoretical and Observational Co
Scientific paper
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.
Ellis George F. R.
Elst Henk van
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