Closed timelike geodesics
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- by Gregory J. Galloway PDF
- Trans. Amer. Math. Soc. 285 (1984), 379-388 Request permission
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.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 285 (1984), 379-388
- MSC: Primary 53C50; Secondary 53C22
- DOI: https://doi.org/10.1090/S0002-9947-1984-0748844-6
- MathSciNet review: 748844