The topology of geodesically complete space-times |
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Authors: | C W Lee |
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Institution: | (1) Department of Mathematics, Bolton Institute of Technology, Deane Road, BL3 5AB Bolton, UK |
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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 toS
3 then the part of space-time that it encloses must be simply connected. |
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