### 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 language | English (US) |
---|---|

Pages (from-to) | 449-470 |

Number of pages | 22 |

Journal | Communications in Mathematical Physics |

Volume | 193 |

Issue number | 2 |

State | Published - Apr 3 1998 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Communications in Mathematical Physics*,

*193*(2), 449-470.

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

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 193, no. 2, pp. 449-470.

}

TY - JOUR

T1 - Horizons non-differentiable on a dense set

AU - Chruściel, Piotr T.

AU - Galloway, Gregory J

PY - 1998/4/3

Y1 - 1998/4/3

N2 - 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.

AB - 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.

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UR - http://www.scopus.com/inward/citedby.url?scp=0039363439&partnerID=8YFLogxK

M3 - Article

VL - 193

SP - 449

EP - 470

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -