Causally continuous spacetimes
- Cite this article as:
- Hawking, S.W. & Sachs, R.K. Commun.Math. Phys. (1974) 35: 287. doi:10.1007/BF01646350
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Causally continuous general relativistic spacetimes are defined and analyzed. In a causally continuous spacetime, the past and future of a local observer behave continuously under small perturbations of the metric or small changes in his location. Causally simple spacetimes are causally continuous; causally continuous spacetimes are causally stable. Possible reasons for taking causal continuity as a basic postulate in macrophysics are briefly discussed.