Nonlinear stability of the Milne model with matter
Mathematical Physics
2017-09-04 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1709.00267,
title = {Nonlinear stability of the Milne model with matter},
author = {Lars Andersson and David Fajman},
journal= {arXiv preprint arXiv:1709.00267},
year = {2017}
}
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33 pages