Geodesic focusing and space-time topology |
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| Authors: | Kjell Rosquist |
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| Affiliation: | 1. Institute of Theoretical Physics, University of Stockholm, Stockholm, Sweden
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| Abstract: | Given a space-timeM and a pointp inM, it is shown that, if the locus of first conjugate points ofp along future-directed null geodesics consists of a single point, thenM admits a compact (S 3) spacelike hypersurface. If in addition the null geodesics do not intersect before focusing, then, in a simply connected space-time, the spacelike hypersurface is a partial Cauchy surface. |
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