On the topology of spacelike hypersurfaces, singularities, and black holes.

Mathematics – Logic

Scientific paper

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Scientific paper

Sufficient topological conditions and some reasonable geometric
properties near infinity are given on a partial Cauchy surface to study
the occurrence of singularities and the topological structure of smooth
event horizons. Conditions are given on electrovac space-times to show
the horizon is a sphere without assuming the solution is stationary.

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