Closed timelike geodesics

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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.

Original languageEnglish (US)
Pages (from-to)379-388
Number of pages10
JournalTransactions of the American Mathematical Society
Issue number1
StatePublished - Sep 1984


ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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