Maximal hypersurfaces in asymptotically stationary spacetimes

Details Maximal hypersurfaces in asymptotically stationary spacetimes Maximal hypersurfaces in asymptotically stationary spacetimes

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992stin...9418141c&link_type=abstract

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Astronomy and Astrophysics

Astronomy

Black Holes (Astronomy), Hyperplanes, Hyperspaces, Relativity, White Holes (Astronomy), Asymptotic Properties, Mathematical Models, Range (Extremes), Space-Time Functions, Topology

Scientific paper

The purpose of the work is to extend the results on the existence of maximal hypersurfaces to encompass some situations considered by other authors. The existence of maximal hypersurface in asymptotically stationary spacetimes is proven. Existence of maximal surface 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 'blackhole or white hole' (but may contain 'ergoregions' where the Killing orbits fail to be timelike). The second class of space times possess a black hole and a white hole, with the black and white hole horizon intersecting in a compact 2-surface S.

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