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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Closed timelike geodesics


Author: Gregory J. Galloway
Journal: Trans. Amer. Math. Soc. 285 (1984), 379-388
MSC: Primary 53C50; Secondary 53C22
MathSciNet review: 748844
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Abstract: It is shown that every stable free $ t$-homotopy class of closed timelike curves in a compact Lorentzian manifold contains a longest curve which must be a closed timelike geodesic. This result enables one to obtain a Lorentzian analogue of a classical theorem of Synge. A criterion for stability is presented, and a theorem of Tipler is derived as a special case of the result stated above.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1984-0748844-6
PII: S 0002-9947(1984)0748844-6
Article copyright: © Copyright 1984 American Mathematical Society