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Causally continuous spacetimes

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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Supported by grants from the NSF, SRC, and Guggenheim foundation.

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Hawking, S.W., Sachs, R.K. Causally continuous spacetimes. Commun.Math. Phys. 35, 287–296 (1974). https://doi.org/10.1007/BF01646350

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Keywords

  • Neural Network
  • Statistical Physic
  • Complex System
  • Nonlinear Dynamics
  • Small Perturbation