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          Institute: MPI für Gravitationsphysik     Collection: Geometric Analysis and Gravitation     Display Documents



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ID: 3526.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
On the Einstein-Vlasov system with hyperbolic symmetry
Authors:Andreasson, Hakan; Rein, Gerhard; Rendall, Alan D.
Language:English
Date of Publication (YYYY-MM-DD):2003-05-03
Title of Journal:Mathematical Proceedings of the Cambridge Philosophical Society
Volume:134
Start Page:529
End Page:549
Review Status:not specified
Audience:Not Specified
Abstract / Description:It is shown that a spacetime with collisionless matter evolving from data on a compact Cauchy surface with hyperbolic symmetry can be globally covered by compact hypersurfaces on which the mean curvature is constant and by compact hypersurfaces on which the area radius is constant. Results for the related cases of spherical and plane symmetry are reviewed and extended. The prospects of using the global time coordinates obtained in this way to investigate the global geometry of the spacetimes concerned are discussed
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
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