Horizons non-differentiable on a dense set

Piotr T. Chruściel, Gregory J. Galloway

Research output: Contribution to journalArticle

30 Scopus citations

Abstract

It is folklore knowledge amongst general relativists that horizons are well behaved, continuously differentiable hypersurfaces except perhaps on a negligible subset one needs not to bother with. We show that this is not the case, by constructing a Cauchy horizon, as well as a black hole event horizon, which contain no open subset on which they are differentiable.

Original languageEnglish (US)
Pages (from-to)449-470
Number of pages22
JournalCommunications in Mathematical Physics
Volume193
Issue number2
DOIs
StatePublished - Apr 3 1998

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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