Kantowski-Sachs cosmology with Vlasov matter

Abstract

We analyse the Kantowski-Sachs cosmologies with Vlasov matter of massive and massless particles using dynamical systems analysis. We show that generic solutions are past and future asymptotic to the non-flat locally rotationally symmetric Kasner vacuum solution. Furthermore, we establish that solutions with massive Vlasov matter behave like solutions with massless Vlasov matter towards the singularities.

arXiv comment19 pages, 4 figures, 1 table

References in corpus (21)

• The Einstein-Vlasov System/Kinetic Theory
• Asymptotic self-similarity breaking at late times in cosmology
• Cosmological models and centre manifold theory
• Dynamics of spatially homogeneous solutions of the Einstein-Vlasov equations which are locally rotationally symmetric
• Dynamics of spatially homogeneous locally rotationally symmetric solutions of the Einstein-Vlasov equations
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• Global Prescribed Mean Curvature foliations in cosmological spacetimes with matter, Part I
• Local Prescribed Mean Curvature foliations in cosmological spacetimes
• Dynamics of Bianchi type I solutions of the Einstein equations with anisotropic matter
• Future non-linear stability for solutions of the Einstein-Vlasov system of Bianchi types II and VI${}_0$
• Future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI${}_0$
• Dynamics of locally rotationally symmetric Bianchi type VIII cosmologies with anisotropic matter
• Isotropization of solutions of the Einstein-Vlasov system with Bianchi V symmetry
• Self-similarity breaking of cosmological solutions with collisionless matter

Cited by in corpus (7)

• On the oscillations and future asymptotics of locally rotationally symmetric Bianchi type III cosmologies with a massive scalar field
• Isotropization of Slowly Expanding Spacetimes
• Future attractors of Bianchi types II and V cosmologies with massless Vlasov matter
• On the future of solutions to the massless Einstein-Vlasov system in a Bianchi I cosmology
• Asymptotic behavior of a matter filled universe with exotic topology
• Einstein flow with matter sources: stability and convergence
• Recollapsing spacetimes with $\Lambda <0$