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

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.

V3: 18 pages. Typos fixed. Matches published version. arXiv admin note: substantial text overlap with arXiv:1208.4231, arXiv:1208.6158

References in corpus (6)

• Fluid observers and tilting cosmology
• Isotropization of non-diagonal Bianchi I spacetimes with collisionless matter at late times assuming small data
• Future non-linear stability for solutions of the Einstein-Vlasov system of Bianchi types II and VI${}_0$
• General K=-1 Friedman-Lemaître models and the averaging problem in cosmology
• Future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI${}_0$
• Properties of kinematic singularities

Cited by in corpus (4)

• Isotropization of Slowly Expanding Spacetimes
• Kantowski-Sachs cosmology with Vlasov matter
• Future attractors of Bianchi types II and V cosmologies with massless Vlasov matter
• Future of Bianchi I magnetic cosmologies with kinetic matter