On the Einstein-Vlasov system with hyperbolic symmetry
General Relativity and Quantum Cosmology
2015-06-25 v1
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.
Cite
@article{arxiv.gr-qc/0110089,
title = {On the Einstein-Vlasov system with hyperbolic symmetry},
author = {Hakan Andreasson and Gerhard Rein and Alan D. Rendall},
journal= {arXiv preprint arXiv:gr-qc/0110089},
year = {2015}
}
Comments
23 pages LaTeX2e