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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?)

  • [1] W. Klingenberg, Lectures on closed geodesics, Grundlehren der Mathematischen Wissenschaften, Band 230, Springer-Verlag, Berlin, 1978. MR 0478069 (57:17563)
  • [2] S. W. Hawking and G. F. R. Ellis, The large-scale structure of spacetime, Cambridge Univ. Press, Cambridge, 1973. MR 0424186 (54:12154)
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Keywords: Lorentz manifolds, closed geodesics, compact manifolds, covering space, global hyperbolicity, global analysis
Article copyright: © Copyright 1979 American Mathematical Society

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