Vacuum spacetimes that admit no maximal slice

Details Vacuum spacetimes that admit no maximal slice Vacuum spacetimes that admit no maximal slice

Sep 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvl..57.1386w&link_type=abstract

Physical Review Letters, Volume 57, Issue 12, September 22, 1986, pp.1386-1389

Physics

28

Canonical Formalism, Lagrangians, And Variational Principles, Exact Solutions

Scientific paper

Every closed three-manifold occurs as a spacelike hypersurface of a vacuum spacetime. For most of these three-manifolds, however, the vacuum spacetimes 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)1/2, and the spacetimes that contain them in most cases have no maximal slice.

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