标题： 渐近平稳时空中的极大超曲面 显示英文标题

标题： Maximal Hypersurfaces in Asymptotically Stationary Space-Times

摘要： 在两类渐近平直时空上证明了极大超曲面的存在性以及由极大超曲面构成的叶层的存在性，这两类时空都具有一参数的等距群，且该等距群的轨道在“无穷远处”为类时。 第一类时空为强因果渐近平直时空，且不含“黑洞或白洞”（但可能包含Killing轨道在该区域变为类空的“能区”）。 第二类时空具有黑洞和白洞，且黑洞视界与白洞视界在紧致的二维曲面$S$上相交。 显示英文摘要

摘要： 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 $S$.