Global Connectivity by Timelike Geodesics
Open Access
- 1 September 1967
- journal article
- Published by Walter de Gruyter GmbH in Zeitschrift für Naturforschung A
- Vol. 22 (9) , 1356-1360
- https://doi.org/10.1515/zna-1967-0912
Abstract
The problem of existence of timelike or null geodetic arcs is examinated. It is shown that some transparent causality conditions are sufficient for the existence of an extremal geodetic arc between every pair of events joined by a timelike curve. In the case of a complete space-time these assumptions are also necessary. Some applications to the existence of global space-sections and the structure of space-times with a Cauchy surface are given.Keywords
This publication has 0 references indexed in Scilit: