On the determination of Cauchy surfaces from intrinsic properties
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We consider the problem of determining from intrinsic properties whether or not a given spacelike surface is a Cauchy surface. We present three results relevant to this question. First, we derive necessary and sufficient conditions for a compact surface to be a Cauchy surface in a spacetime which admits one. Second, we show that for a non-compact surface it is impossible to determine whether or not it is a Cauchy surface without imposing some restriction on the entire spacetime. Third, we derive conditions for an asymptotically flat surface to be a Cauchy surface by imposing the global condition that it be imbedded in a weakly asymptotically simple and empty spacetime. 1978 Springer-Verlag.
Communications in Mathematical Physics
author list (cited authors)
Budic, R., Isenberg, J., Lindblom, L., & Yasskin, P. B.
complete list of authors
Budic, Robert||Isenberg, James||Lindblom, Lee||Yasskin, Philip B