General Relativity and Gravitation

, Volume 14, Issue 1, pp 87–96 | Cite as

Some global properties of closed spatially homogeneous space-times

  • Gregory J. Galloway
Research Articles

Abstract

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.

Keywords

Differential Geometry Global Property Cauchy Horizon Homogeneous Domain Global Hyperbolicity 

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Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • Gregory J. Galloway
    • 1
  1. 1.Department of MathematicsUniversity of MiamiCoral Gables

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