Maximal Hypersurfaces in Asymptotically Stationary Space-Times
General Relativity and Quantum Cosmology
2015-06-25 v1
Abstract
Existence of maximal hypersurfaces and of foliations by maximal hypersurfaces is proven in two classes of asymptotically flat spacetimes which possess a one parameter group of isometries whose orbits are timelike ``near infinity''. The first class consists of strongly causal asymptotically flat spacetimes which contain no ``black hole or white hole" (but may contain ``ergoregions" where the Killing orbits fail to be timelike). The second class of spacetimes possess a black hole and a white hole, with the black and white hole horizons intersecting in a compact 2-surface .
Keywords
Cite
@article{arxiv.gr-qc/9304009,
title = {Maximal Hypersurfaces in Asymptotically Stationary Space-Times},
author = {P. T. Chrusciel and R. Wald},
journal= {arXiv preprint arXiv:gr-qc/9304009},
year = {2015}
}
Comments
44 pages, 2 figures non-included, Latex, MPA-708