Communications in Mathematical Physics

, Volume 35, Issue 4, pp 287–296 | Cite as

Causally continuous spacetimes

  • S. W. Hawking
  • R. K. Sachs
Article

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.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Small Perturbation 

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Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • S. W. Hawking
    • 1
  • R. K. Sachs
    • 2
    • 3
  1. 1.Institute of AstronomyUniversity of CambridgeCambridgeUK
  2. 2.DAMTPUniversity of CambridgeUSA
  3. 3.Departments of Mathematics and PhysicsUniversity of California at BerkeleyBerkeleyUSA

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