The topology of geodesically complete space-times

Details The topology of geodesically complete space-times The topology of geodesically complete space-times

Jan 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15...21l&link_type=abstract

General Relativity and Gravitation, vol. 15, Jan. 1983, p. 21-30.

Mathematics

3

Geodesy, Space-Time Functions, Topology, Singularity (Mathematics)

Scientific paper

Two theorems are formulated on the topology of geodesically complete space-times which satisfy the energy condition. The condition that a compact embedded three-manifold in space-time be dentless is first defined in terms of causal structure. It is then determined that a dentless three-manifold must separate space-time, and that it must enclose a compact portion of space-time. In addition, it is determined that if the dentless three-manifold is homeomorphic to S-cubed then the part of space-time that it encloses must be simply connected.

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