Asymptotic behaviour of the Einstein-Vlasov system with a positive cosmological constant

Abstract

We study locally spatially homogeneous solutions of the Einstein-Vlasov system with a positive cosmological constant. First the global existence of solutions of this system and the casual geodesic completeness are shown. Then the asymptotic behaviour of solutions in the future time is investigated in various aspects.

17 pages

References in corpus (8)

• Homogeneous cosmologies with cosmological constant
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• Cosmological models and centre manifold theory
• Theorems on existence and global dynamics for the Einstein equations
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• Cosmic Censorship for Some Spatially Homogeneous Cosmological Models
• The Einstein-Vlasov sytem/Kinetic theory
• Solutions of the Einstein equations with matter

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