Global existence and asymptotic behaviour in the future for the Einstein--Vlasov system with positive cosmological constant

2003/05/15 by Sophonie Blaise Tchapnda, S. B. Tchapnda, A. D. Rendall +1 · 4 citations
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Gas Dynamics and Kinetic Theory #Geometric Analysis and Curvature Flows #gr-qc

paper · pdf · doi:10.1088/0264-9381/20/14/306

published as Class.Quant.Grav. 20 (2003) 3037-3049

arxiv created 2003/05/15 · openalex publication_date 2003/06/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The behaviour of expanding cosmological models with collisionless matter and a positive cosmological constant is analysed. It is shown that under the assumption of plane or hyperbolic symmetry the area radius goes to infinity, the spacetimes are future geodesically complete, and the expansion becomes isotropic and exponential at late times. This proves a form of the cosmic no-hair theorem in this class of spacetimes.

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• Dynamics of k -essence
• Isotropic cosmological singularities in spatially homogeneous models with a cosmological constant
• The Einstein-Vlasov System/Kinetic Theory
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