Lars Andersson, David Fajman
Published 2017-09-01Version 1
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.
Nonlinear Stability of Riemann Ellipsoids with Symmetric Configurations
A non-variational approach to nonlinear stability in stellar dynamics applied to the King model
The distribution function for the maximal height of $N$ non-intersecting Bessel paths
![QR code for arXiv:1709.00267 [math-ph]](http://oss.arxitics.com/images/favicon.svg)