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Nonlinear stability of the Milne model with matter

MPS-Authors
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Andersson,  Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1709.00267.pdf
(Preprint), 386KB

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Citation

Andersson, L., & Fajman, D. (submitted). Nonlinear stability of the Milne model with matter.


Cite as: https://hdl.handle.net/21.11116/0000-0003-586F-F
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.