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

Tchapnda, S. B., & Rendall, A. D. (2003). Global existence and asymptotic behaviour in the future for the Einstein-Vlasov system with positive cosmological constant. Classical and Quantum Gravity, 20(14), 3037-3049.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-52AF-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-52B0-1
Genre: Journal Article

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50884.pdf (Preprint), 176KB
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 Creators:
Tchapnda, Sophonie Blaise, Author
Rendall, Alan D.1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 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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Language(s): eng - English
 Dates: 2003
 Publication Status: Published in print
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 Identifiers: eDoc: 50884
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 20 (14) Sequence Number: - Start / End Page: 3037 - 3049 Identifier: -