A conformal approach for the analysis of the non-linear stability of radiation cosmologies Original Research Article

The conformal Einstein equations for a trace-free (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 trace-free (radiation) perfect fluid Friedman–Lemaître–Robertson–Walker cosmological models. The solutions thus obtained exist globally towards the future and are future geodesically complete.