1305.7347 (Ernesto Nungesser et al.)

Isotropization of solutions of the Einstein-Vlasov system with Bianchi V
symmetry    [PDF]

Ernesto Nungesser, Lars Andersson, Soumyajit Bose, Alan A. Coley

Using the methods developed for different Bianchi class A cosmological models we treat the simplest Bianchi class B model, namely Bianchi type V. The future non-linear stability for solutions of the Einstein-Vlasov system is demonstrated and it is shown that these solutions are asymptotically stable to the Milne solution. Within the isotropic solutions of the Einstein-Vlasov system the spatially flat Friedmann solution is unstable within this class, and expanding models tend also to the Milne solution.

View original: http://arxiv.org/abs/1305.7347