### Abstract

A new result on topological censorship is presented. Roughly speaking, the result shows that, under suitable conditions, the topology of space outside the event horizon must eventually be simple. In particular, cross sections of the event horizon must eventually be spherical. This latter consequence of the main result generalizes in many respects the classical theorem of Hawking that black hole boundaries in stationary black hole space-times are spherical.

Original language | English (US) |
---|---|

Pages (from-to) | 4952-4961 |

Number of pages | 10 |

Journal | Journal of Mathematical Physics |

Volume | 36 |

Issue number | 9 |

State | Published - 1995 |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*36*(9), 4952-4961.

**Topological censorship and the topology of black holes.** / Browdy, Steven F.; Galloway, Gregory J.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 36, no. 9, pp. 4952-4961.

}

TY - JOUR

T1 - Topological censorship and the topology of black holes

AU - Browdy, Steven F.

AU - Galloway, Gregory J

PY - 1995

Y1 - 1995

N2 - A new result on topological censorship is presented. Roughly speaking, the result shows that, under suitable conditions, the topology of space outside the event horizon must eventually be simple. In particular, cross sections of the event horizon must eventually be spherical. This latter consequence of the main result generalizes in many respects the classical theorem of Hawking that black hole boundaries in stationary black hole space-times are spherical.

AB - A new result on topological censorship is presented. Roughly speaking, the result shows that, under suitable conditions, the topology of space outside the event horizon must eventually be simple. In particular, cross sections of the event horizon must eventually be spherical. This latter consequence of the main result generalizes in many respects the classical theorem of Hawking that black hole boundaries in stationary black hole space-times are spherical.

UR - http://www.scopus.com/inward/record.url?scp=21844496554&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844496554&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:21844496554

VL - 36

SP - 4952

EP - 4961

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 9

ER -