English

On the dynamics of generators of Cauchy horizons

General Relativity and Quantum Cosmology 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.gr-qc/9401015,
  title  = {On the dynamics of generators of Cauchy horizons},
  author = {P. T. Chrusciel and J. Isenberg},
  journal= {arXiv preprint arXiv:gr-qc/9401015},
  year   = {2007}
}

Comments

16 pages, preprint MPA 773, December 93, Latex