Vacuum Space-Times That Admit No Maximal Slice

Donald M. Witt
Phys. Rev. Lett. 57, 1386 – Published 22 September 1986
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Abstract

Every closed three-manifold occurs as a spacelike hypersurface of a vacuum space-time. For most of these three-manifolds, however, the vacuum space-times that contain them have no maximal slice. For asymptotically flat manifolds there are no restrictions on which three-manifolds can occur obeying the local energy conditions ρ>(JaJa)12 and the space-times that contain them in most cases have no maximal slice.

  • Received 3 February 1986

DOI:https://doi.org/10.1103/PhysRevLett.57.1386

©1986 American Physical Society

Authors & Affiliations

Donald M. Witt

  • Department of Physics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201

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Issue

Vol. 57, Iss. 12 — 22 September 1986

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