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arXiv · 1709.00267

Nonlinear stability of the Milne model with matter

Lars Andersson·David Fajman
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Abstract

We show that any 3+1-dimensional Milne model is future nonlinearly, asymptotically stable in the set of solutions to the Einstein-Vlasov system. For the analysis of the Einstein equations we use the constant-mean-curvature-spatial-harmonic gauge. For the distribution function the proof makes use of geometric L^2-estimates based on the Sasaki-metric. The resulting estimates on the energy momentum tensor are then upgraded by employing the natural continuity equation for the energy density.

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Lars Andersson, David Fajman. 2017-09-01. Nonlinear stability of the Milne model with matter. https://arxiv.org/abs/1709.00267

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