Communications in Mathematical Physics

, Volume 35, Issue 4, pp 287–296

Causally continuous spacetimes

  • S. W. Hawking
  • R. K. Sachs

DOI: 10.1007/BF01646350

Cite this article as:
Hawking, S.W. & Sachs, R.K. Commun.Math. Phys. (1974) 35: 287. doi:10.1007/BF01646350


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.

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

Personalised recommendations