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Journal Article

On the Einstein-Vlasov system with hyperbolic symmetry

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Rendall,  Alan D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Andreasson, H., Rein, G., & Rendall, A. D. (2003). On the Einstein-Vlasov system with hyperbolic symmetry. Mathematical Proceedings of the Cambridge Philosophical Society, 134, 529-549.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5230-3
Abstract
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