We construct an example of a compact Cauchy horizon that is not a differentiable manifold. This answers in the negative the question of whether a compact Cauchy horizon that arises from a space-like hypersurface is necessarily smooth.
机构:
Virginia Polytech Inst & State Univ, Interdisciplinary Ctr Appl Math, Blacksburg, VA 24061 USAVirginia Polytech Inst & State Univ, Interdisciplinary Ctr Appl Math, Blacksburg, VA 24061 USA
Herdman, T
Spies, R
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机构:Virginia Polytech Inst & State Univ, Interdisciplinary Ctr Appl Math, Blacksburg, VA 24061 USA