Maximal hypersurfaces in stationary asymptotically flat spacetimes |
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| Authors: | Piotr T. Chrusciel Robert M. Wald |
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| Affiliation: | (1) Max Planck Institut für Astrophysik, Karl-Schwarzschild-Strasse 1, D-85740 Garching bei München, Germany;(2) Enrico Fermi Institute and Department of Physics, University of Chicago, 5640 S. Ellis Ave., 60637 Chicago, IL, USA;(3) Present address: Institute of Mathematics, Polish Academy of Sciences, Warsaw |
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| 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-surfaceS.Supported in part by KBN grant #2 1047 9101Supported in part by NSF grant PHY-8918388. |
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