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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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] Wilhelm Klingenberg, Lectures on closed geodesics, Springer-Verlag, Berlin-New York, 1978. Grundlehren der Mathematischen Wissenschaften, Vol. 230. MR 0478069
  • [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
  • [4] Roger Penrose, Techniques of differential topology in relativity, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1972. Conference Board of the Mathematical Sciences Regional Conference Series in Applied Mathematics, No. 7. MR 0469146
  • [5] Robert P. Geroch, Topology in general relativity, J. Mathematical Phys. 8 (1967), 782–786. MR 0213139

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 83C15, 53C50

Retrieve articles in all journals with MSC: 83C15, 53C50


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0534406-6
Keywords: Lorentz manifolds, closed geodesics, compact manifolds, covering space, global hyperbolicity, global analysis
Article copyright: © Copyright 1979 American Mathematical Society