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  An extension principle for the Einstein-Vlasov system in spherical symmetry

Dafermos, M., & Rendall, A. D. (2005). An extension principle for the Einstein-Vlasov system in spherical symmetry. Annales Henri Poincare, 6(6), 1137-1155. Retrieved from http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s00023-005-0235-7.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4E9E-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4E9F-8
Genre: Journal Article

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 Creators:
Dafermos, Mihalis, 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: We prove that "first singularities" in the non-trapped region of the maximal development of spherically symmetric asymptotically flat data for the Einstein-Vlasov system must necessarily emanate from the center. The notion of "first" depends only on the causal structure and can be described in the language of terminal indecomposable pasts (TIPs). This result suggests a local approach to proving weak cosmic censorship for this system. It can also be used to give the first proof of the formation of black holes by the collapse of collisionless matter from regular initial configurations.

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Language(s): eng - English
 Dates: 2005
 Publication Status: Published in print
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Title: Annales Henri Poincare
Source Genre: Journal
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Pages: - Volume / Issue: 6 (6) Sequence Number: - Start / End Page: 1137 - 1155 Identifier: -