Communications in Mathematical Physics

, Volume 163, Issue 3, pp 561–604 | Cite as

Maximal hypersurfaces in stationary asymptotically flat spacetimes

  • Piotr T. Chrusciel
  • Robert M. Wald


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.


Neural Network Black Hole Statistical Physic Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Piotr T. Chrusciel
    • 1
  • Robert M. Wald
    • 2
  1. 1.Max Planck Institut für AstrophysikGarching bei MünchenGermany
  2. 2.Enrico Fermi Institute and Department of PhysicsUniversity of ChicagoChicagoUSA

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