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On the geodesic completeness of causal space-times

Published online by Cambridge University Press:  24 October 2008

C. J. S. Clarke
C. J. S. Clarke
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge.
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Abstract

A geodesic in space-time is complete if it can be extended to infinite values of its affine parameter: it is shown that all strongly causal spaces are conformal to space-times in which all null geodesies are complete, and that a wide class of space-times are conformal to ones in which almost no null geodesies are complete.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 69 , Issue 2 , March 1971 , pp. 319 - 323
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

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