A conformal approach for the analysis of the non-linear stability of pure radiation cosmologies
classification
🌀 gr-qc
keywords
radiationconformalequationsfluidfuturenon-linearperfectstability
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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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