Vacuum Space-Times That Admit No Maximal Slice

Sep, 1986
4 pages
Published in:
  • Phys.Rev.Lett. 57 (1986) 1386-1389

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Abstract: (APS)
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.