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ID: 3133.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
Existence of CMC and constant areal time foliations in T^2 symmetric spacetimes with Vlasov matter
Authors:Andreasson, Hakan; Rendall, Alan D.; Weaver, Marsha
Language:English
Date of Publication (YYYY-MM-DD):2004
Title of Journal:Communications in Partial Differential Equations
Volume:29
Issue / Number:1-2
Start Page:237
End Page:262
Review Status:not specified
Audience:Not Specified
Abstract / Description: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.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
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