Abstract
A nonlinear stability analysis is carried out for the trace-free (radiation) perfect fluid Friedmann-Lemaître-Robertson-Walker models with a de Sitter-like cosmological constant. It is shown that the solutions close to the above FLRW spacetimes exist globally towards the future and are future geodesically complete. For this analysis we formulate the conformal Einstein field equations for a trace-free (radiation) perfect fluid in terms of the Levi-Civita connection of a conformally rescaled metric.
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Lübbe, C., Valiente Kroon, J. . (2014). The Conformal Einstein Field Equations for Trace-free Perfect Fluids. In: Bičák, J., Ledvinka, T. (eds) Relativity and Gravitation. Springer Proceedings in Physics, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-06761-2_17
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DOI: https://doi.org/10.1007/978-3-319-06761-2_17
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