Lines in space-times

J. H. Eschenburg, G. J. Galloway

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


We construct a complete timelike maximal geodesic ("line") in a timelike geodesically complete spacetime M containing a compact acausal spacelike hypersurface S which lies in the past of some S-ray. An S-ray is a future complete geodesic starting on S which maximizes Lorentzian distance from S to any of its points. If the timelike convergence condition (strong energy condition) holds, a line exists only if M is static, i.e. it splits geometrically as space × time. So timelike completeness must fail for a nonstatic spacetime with strong energy condition which contains a "closed universe"S with the above properties.

Original languageEnglish (US)
Pages (from-to)209-216
Number of pages8
JournalCommunications in Mathematical Physics
Issue number1
StatePublished - Aug 1 1992
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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