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  Local existence and continuation criteria for solutions of the Einstein-Vlasov-scalar field system with surface symmetry

Tegankong, D., Noutchegueme, N., & Rendall, A. D. (2004). Local existence and continuation criteria for solutions of the Einstein-Vlasov-scalar field system with surface symmetry. Journal of Hyperbolic Differential Equations, 1: 691. Retrieved from http://www.worldscinet.com/jhde/jhde.shtml.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5154-C Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5155-A
Genre: Journal Article

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 Creators:
Tegankong, David, Author
Noutchegueme, Norbert, Author
Rendall, Alan D.1, Author           
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: We prove in the cases of spherical, plane and hyperbolic symmetry a local in time existence theorem and continuation criteria for cosmological solutions of the Einstein-Vlasov-scalar field system, with the sources generated by a distribution function and a scalar field, subject to the Vlasov and wave equations respectively. This system describes the evolution of self-gravitating collisionless matter and scalar waves within the context of general relativity. In the case where the only source is a scalar field it is shown that a global existence result can be deduced from the general theorem.

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Language(s): eng - English
 Dates: 2004
 Publication Status: Issued
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 Rev. Type: -
 Identifiers: eDoc: 123199
URI: http://www.worldscinet.com/jhde/jhde.shtml
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Title: Journal of Hyperbolic Differential Equations
Source Genre: Journal
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Pages: - Volume / Issue: 1 Sequence Number: 691 Start / End Page: - Identifier: -