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Letters in Mathematical Physics

, Volume 63, Issue 1, pp 1–4 | Cite as

On the Differentiability of Compact Cauchy Horizons

  • Robert J. Budzyński
  • Witold Kondracki
  • Andrzej Królak
Article

Abstract

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.

Cauchy horizon spacetime manifolds 

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Robert J. Budzyński
    • 1
  • Witold Kondracki
    • 2
  • Andrzej Królak
    • 2
  1. 1.Department of PhysicsWarsaw UniversityWarsawPoland
  2. 2.Institute of MathematicsPolish Academy of SciencesWarsawPoland

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