Globally hyperbolic space-times which are timelike Cauchy complete

Details Globally hyperbolic space-times which are timelike Cauchy complete Globally hyperbolic space-times which are timelike Cauchy complete

Apr 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..339b&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 4, pp.339-344

Mathematics

Logic

2

Scientific paper

LetM be a globally hyperbolic manifold. Among the many forms of completeness that may be imposed onM are timelike Cauchy completeness and finite compactness. These two forms of completeness are shown to be equivalent for globally hyperbolic manifolds. They are also equivalent to the statement that every inextendible future-directed (past-directed) geodesic starting in the chronological future (past) ofp has points at arbitrarily large distance fromp.

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