Lines in space-times

Details Lines in space-times Lines in space-times

Aug 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cmaph.148..209e&link_type=abstract

Communications in Mathematical Physics, Volume 148, Issue 1, pp.209-216

Mathematics

Mathematical Physics

5

Scientific paper

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.

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