On the Einstein-Vlasov system with hyperbolic symmetry

Details On the Einstein-Vlasov system with hyperbolic symmetry On the Einstein-Vlasov system with hyperbolic symmetry

2001-10-22

arxiv.org/abs/gr-qc/0110089v1

Math.Proc.Cambridge Phil.Soc. 134 (2003) 529-549

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages LaTeX2e

Scientific paper

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.

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