Abstract.
The purpose of this paper is on the one hand to extend and generalize, in terms of Clifford translations, some results in a previous paper (Math. Z. 239 (2002), 277–291) concerning the existence of closed timelike geodesics in compact spacetimes, and on the other hand to prove that a compact flat spacetime (M, g) contains a closed timelike geodesic if and only if the fundamental group π1(M) contains a non-trivial timelike translation.
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Received: 22 January 2002; in final form: 12 August 2002 / Published online: 16 May 2003
Mathematics Subject Classification (2000): 53C50, 53C22.
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Guediri, M. On the existence of closed timelike geodesics in compact spacetimes. II. Math. Z. 244, 577–585 (2003). https://doi.org/10.1007/s00209-003-0502-6
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DOI: https://doi.org/10.1007/s00209-003-0502-6