Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Existence of closed timelike geodesics in Lorentz spaces

Author: Frank J. Tipler
Journal: Proc. Amer. Math. Soc. 76 (1979), 145-147
MSC: Primary 83C15; Secondary 53C50
MathSciNet review: 534406
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Abstract: Certain classes of compact four-dimensional Lorentz spaces are shown to possess at least one closed timelike geodesic.

References [Enhancements On Off] (What's this?)

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  • [2] S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time, Cambridge University Press, London-New York, 1973. Cambridge Monographs on Mathematical Physics, No. 1. MR 0424186
  • [3] Robert Geroch, Domain of dependence, J. Mathematical Phys. 11 (1970), 437–449. MR 0270697
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Keywords: Lorentz manifolds, closed geodesics, compact manifolds, covering space, global hyperbolicity, global analysis
Article copyright: © Copyright 1979 American Mathematical Society