Generalization of the ``Schwarzschild Surface'' to Arbitrary Static and Stationary Metrics
- 1 August 1968
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 9 (8) , 1319-1322
- https://doi.org/10.1063/1.1664717
Abstract
A generalization of the r = 2m ``Schwarzschild surface'' is defined for static metrics which are not necessarily spherically symmetric. This surface exhibits simultaneously the properties of being a ``one‐way membrane'' for causal propagation and of being a surface of infinite red shift. The necessary and sufficient condition that these two phenomena take place on the same surface in an arbitrary stationary metric is also obtained. The distinctions between the static and stationary cases are shown to be essential by examples from the Kerr metric.Keywords
This publication has 2 references indexed in Scilit:
- An interpretation of the Kerr metric in general relativityMathematical Proceedings of the Cambridge Philosophical Society, 1965
- Past-Future Asymmetry of the Gravitational Field of a Point ParticlePhysical Review B, 1958