Horizons non-differentiable on a dense set

Piotr T. Chruściel, Gregory J Galloway

Research output: Contribution to journalArticle

29 Citations (Scopus)

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
StatePublished - Apr 3 1998

Fingerprint

set theory
horizon
Horizon
event horizon
Subset
Continuously differentiable
Cauchy
Black Holes
Hypersurface
Differentiable
Knowledge

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Horizons non-differentiable on a dense set. / Chruściel, Piotr T.; Galloway, Gregory J.

In: Communications in Mathematical Physics, Vol. 193, No. 2, 03.04.1998, p. 449-470.

Research output: Contribution to journalArticle

Chruściel, Piotr T. ; Galloway, Gregory J. / Horizons non-differentiable on a dense set. In: Communications in Mathematical Physics. 1998 ; Vol. 193, No. 2. pp. 449-470.
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