Lines in space-times

J. H. Eschenburg, Gregory J Galloway

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

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
Volume148
Issue number1
DOIs
StatePublished - Aug 1992
Externally publishedYes

Fingerprint

Space-time
Geodesic
Half line
Line
geodesic lines
rays
Spacelike Hypersurface
Convergence Condition
completeness
Energy
Completeness
universe
Maximise
Closed
energy

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Lines in space-times. / Eschenburg, J. H.; Galloway, Gregory J.

In: Communications in Mathematical Physics, Vol. 148, No. 1, 08.1992, p. 209-216.

Research output: Contribution to journalArticle

Eschenburg, J. H. ; Galloway, Gregory J. / Lines in space-times. In: Communications in Mathematical Physics. 1992 ; Vol. 148, No. 1. pp. 209-216.
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