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arXiv · 1111.4691

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

C. Lübbe·J. A. Valiente Kroon
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Abstract

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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C. Lübbe, J. A. Valiente Kroon. 2011-11-20. A conformal approach for the analysis of the non-linear stability of pure radiation cosmologies. https://doi.org/10.1016/j.aop.2012.10.011

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