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  Existence of CMC and constant areal time foliations in T^2 symmetric spacetimes with Vlasov matter

Andreasson, H., Rendall, A. D., & Weaver, M. (2004). Existence of CMC and constant areal time foliations in T^2 symmetric spacetimes with Vlasov matter. Communications in Partial Differential Equations, 29(1-2), 237-262.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-507E-7 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-507F-5
Genre: Journal Article

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3133.pdf (Preprint), 253KB
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 Creators:
Andreasson, Hakan1, Author
Rendall, Alan D.1, Author           
Weaver, Marsha, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: The global structure of solutions of the Einstein equations coupled to the Vlasov equation is investigated in the presence of a two-dimensional symmetry group. It is shown that there exist global CMC and areal time foliations. The proof is based on long-time existence theorems for the partial differential equations resulting from the Einstein-Vlasov system when conformal or areal coordinates are introduced.

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Language(s): eng - English
 Dates: 2004
 Publication Status: Issued
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 Identifiers: eDoc: 3133
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Title: Communications in Partial Differential Equations
Source Genre: Journal
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Pages: - Volume / Issue: 29 (1-2) Sequence Number: - Start / End Page: 237 - 262 Identifier: -