Causally continuous spacetimes |
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Authors: | S W Hawking R K Sachs |
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Institution: | 1. Institute of Astronomy, University of Cambridge, Cambridge, UK 2. DAMTP, University of Cambridge, USA 3. Departments of Mathematics and Physics, University of California at Berkeley, Berkeley, USA
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Abstract: | 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. |
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