Dynamics in nonglobally hyperbolic, static space-times
- 1 December 1980
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (12) , 2802-2805
- https://doi.org/10.1063/1.524403
Abstract
Ordinary Cauchy evolution determines a solution of a partial differential equation only within the domain of dependence of the initial data surface. Hence, in a nonglobally hyperbolic space‐time, one does not have fully deterministic dynamics. We show here that for the case of a Klein–Gordon scalar field propagating in an arbitrary static space‐time, a physically sensible, fully deterministic dynamical evolution prescription can be given. If the cosmic censor hypothesis should be overthrown, a prescription of this sort could rescue deterministic physics.Keywords
This publication has 3 references indexed in Scilit:
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