Stability of FLRW metric for polytropic (Makino) fluids

General Relativity, Geometry and Analysis: beyond the first 100 years after Einstein

03 December 10:00 - 11:00

Chao Liu - Peking University

We establish the future non-linear stability of de Sitter-like Friedmann-Lema^ıtre-Robertson-Walker (FLRW) solutions to the Einstein-Euler equations of the universe filled with polytropic fluids (the proof can also allow more general Makino fluids containning certain nonlinear or linear equations of state). We emphasize for polytropic fluids, this stability problem is not a trival generalization of the previous known results (the difficulties mainly come from the Euler equation and the nonlinear equation of state can offset some effects of positive cosmological constant). Our method is based on the Fuchsian formulations. This is a joint work with Changhua Wei.
Lars Andersson
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Mattias Dahl
KTH Royal Institute of Technology
Philippe G. LeFloch
Sorbonne University
Richard Schoen
University of California, Irvine


Mattias Dahl


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