Maximal Hypersurfaces in Asymptotically Stationary Space-Times

Details Maximal Hypersurfaces in Asymptotically Stationary Space-Times Maximal Hypersurfaces in Asymptotically Stationary Space-Times

1993-04-07

arxiv.org/abs/gr-qc/9304009v1

Commun. Math. Phys. 163 (1994) 561-604

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

44 pages, 2 figures non-included, Latex, MPA-708

Scientific paper

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 $S$.

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