Causality conditions and the lengths of nonspacelike curves

Details Causality conditions and the lengths of nonspacelike curves Causality conditions and the lengths of nonspacelike curves

Oct 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..913d&link_type=abstract

General Relativity and Gravitation, Volume 13, Issue 10, pp.913-922

Mathematics

Logic

1

Scientific paper

In globally hyperbolic space-times there is a finite upper bound on the proper time lengths of nonspacelike curves between two chronologically related events. We show that if global hyperbolicity is replaced by a weaker causality condition, then there can exist chronologically related events in the space-time such that the proper time lengths of nonspacelike curves joining them grow without bound. We also show that the existence of a finite upper bound on the lengths of nonspacelike curves between two chronologically related events implies only chronology of the space-time but not causality.

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