Some global properties of closed spatially homogeneous space-times.

Details Some global properties of closed spatially homogeneous space-times. Some global properties of closed spatially homogeneous space-times.

Jan 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14...87g&link_type=abstract

General Relativity and Gravitation, Volume 14, Issue 1, pp.87-96

Mathematics

Logic

1

Cosmological Models

Scientific paper

We consider some properties of the space-times which contain a spatially homogeneous domain of dependenceD(V), whereF is acompact achronal spatial hypersurface of homogeneity. For example, it is shown that ifV has a nonempty future Cauchy horizon then the timelike geodesies orthogonal toV are future incomplete and there is strong causality failure onH +(V). Also, conditions for the global hyperbolicity of such space-times are obtained.

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