Back to Search
Start Over
The topology of geodesically complete space-times
- Source :
- General Relativity and Gravitation. 15:21-30
- Publication Year :
- 1983
- Publisher :
- Springer Science and Business Media LLC, 1983.
-
Abstract
- Two theorems are given on the topology of geodesically complete space-times which satisfy the energy condition. Firstly, the condition that a compact embedded 3-manifold in space-time be dentless is defined in terms of causal structure. Then it is shown that a dentless 3-manifold must separate space-time, and that it must enclose a compact portion of space-time. Further, it is shown that if the dentless 3-manifold is homeomorphic toS3 then the part of space-time that it encloses must be simply connected.
Details
- ISSN :
- 15729532 and 00017701
- Volume :
- 15
- Database :
- OpenAIRE
- Journal :
- General Relativity and Gravitation
- Accession number :
- edsair.doi...........45a6352a25f4d85fd95fa31b56b4e673