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 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