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

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

doi:10.1007/s10714-013-1628-4

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

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

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Citation

Nungesser, E., Andersson, L., Bose, S., & Coley, A. A. (2013). Isotropization of solutions of the Einstein-Vlasov system with Bianchi V symmetry. General Relativity and Gravitation, 46: 1628. doi:10.1007/s10714-013-1628-4.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-0382-E

Abstract

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.