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  The Einstein-Vlasov system with a scalar field

Lee, H. (2005). The Einstein-Vlasov system with a scalar field. Annales Henri Poincare, 6, 697-723.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4E5D-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4E5E-9
Genre: Journal Article

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0404007.pdf (Preprint), 299KB
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 Creators:
Lee, Hayoung1, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: We study the Einstein-Vlasov system coupled to a nonlinear scalar field with a nonnegative potential in locally spatially homogeneous spacetime, as an expanding cosmological model. It is shown that solutions of this system exist globally in time. When the potential of the scalar field is of an exponential form, the cosmological model corresponds to accelerated expansion. The Einstein-Vlasov system coupled to a nonlinear scalar field whose potential is of an exponential form shows the causal geodesic completeness of the spacetime towards the future. The asymptotic behaviour of solutions of this system in the future time is analysed in various aspects, which shows power-law expansion.

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Language(s): eng - English
 Dates: 2005
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: eDoc: 119259
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Title: Annales Henri Poincare
Source Genre: Journal
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Pages: - Volume / Issue: 6 Sequence Number: - Start / End Page: 697 - 723 Identifier: -