Causal boundaries for general relativistic space-times
- 1 August 1974
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 15 (8) , 1302-1309
- https://doi.org/10.1063/1.1666812
Abstract
Let M be a causally continuous space‐time. Using indecomposable past and future sets in a symmetric way we construct a causal completion N for M. N is a causal space; the chronology of M in N is the chronology of M. The extended Alexandrov topology for N makes N Hausdorff and M a densely imbedded subspace. M is globally hyperbolic iff either the chronological future or the chronological past of each point in N‐M is empty, causally simple iff the causality of M in N is the causality of M. The standard examples of causal completions are special cases.Keywords
This publication has 5 references indexed in Scilit:
- The differentiable and causal structures of space-timeJournal of Mathematical Physics, 1973
- Ideal points in space-timeProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1972
- The causal boundary of space-timesGeneral Relativity and Gravitation, 1971
- On the structure of causal spacesMathematical Proceedings of the Cambridge Philosophical Society, 1967
- Zero rest-mass fields including gravitation: asymptotic behaviourProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1965