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On the dynamics of generators of Cauchy horizons

1994/01/17 by Piotr T. Chruściel, P. T. Chrusciel, Chrusciel, P. T. +3
Mathematics · Physics and Astronomy · #advanced mathematical theories #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9401015

16 pages, preprint MPA 773, December 93, Latex

arxiv created 1994/01/17 · arxiv updated 2009/11/30

Abstract

We discuss various features of the dynamical system determined by the flow of null geodesic generators of Cauchy horizons. Several examples with non--trivial (``chaotic'', ``strange attractors'', etc.) global behaviour are constructed. Those examples are relevant to the ``chronology protection conjecture'', and they show that the occurrence of ``fountains'' is \em not a generic feature of Cauchy horizons.

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