A conformal approach for the analysis of the non-linear stability of pure radiation cosmologies

Details A conformal approach for the analysis of the non-linear stability of pure radiation cosmologies A conformal approach for the analysis of the non-linear stability of pure radiation cosmologies

2011-11-20

arxiv.org/abs/1111.4691v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages

Scientific paper

The conformal Einstein equations for a tracefree (radiation) perfect fluid are derived in terms of the Levi-Civita connection of a conformally rescaled metric. These equations are used to provide a non-linear stability result for de Sitter-like tracefree (radiation) perfect fluid Friedman-Lema\^{\i}tre-Robertson-Walker cosmological models. The solutions thus obtained exist globally towards the future and are future geodesically complete.

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