DETERMINATION OF CAUCHY SURFACES FROM INTRINSIC-PROPERTIES

abstract

• 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.

authors

• Yasskin, Philip

published proceedings

• COMMUNICATIONS IN MATHEMATICAL PHYSICS

author list (cited authors)

• BUDIC, R., ISENBERG, J., LINDBLOM, L., & YASSKIN, P. B.

citation count

• 39

complete list of authors

• BUDIC, R||ISENBERG, J||LINDBLOM, L||YASSKIN, PB

publication date

• February 1978

publisher

• Springer Nature  Publisher

published in

• Communications in Mathematical Physics  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics

Digital Object Identifier (DOI)

• 10.1007/BF01609469

start page

• 87

end page

• 95

volume

• 61

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fbf01609469