A conformal approach for the analysis of the non-linear stability of pure radiation cosmologies
arXiv:1111.4691 · doi:10.1016/j.aop.2012.10.011
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\^ıtre-Robertson-Walker cosmological models. The solutions thus obtained exist globally towards the future and are future geodesically complete.
21 pages