### Abstract

We first show that the intrinsic, geometrical structure of a dynamical horizon (DH) is unique. A number of physically interesting constraints are then established on the location of trapped and marginally trapped surfaces in the vicinity of any DH. These restrictions are used to prove several uniqueness theorems for DH. Ramifications of some of these results to numerical simulations of black hole spacetimes are discussed. Finally, several expectations on the interplay between isometries and DHs are shown to be borne out.

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

Pages (from-to) | 1-30 |

Number of pages | 30 |

Journal | Advances in Theoretical and Mathematical Physics |

Volume | 9 |

Issue number | 1 |

State | Published - Jan 2005 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Mathematics(all)

### Cite this

*Advances in Theoretical and Mathematical Physics*,

*9*(1), 1-30.

**Some uniqueness results for dynamical horizons.** / Ashtekar, Abhay; Galloway, Gregory J.

Research output: Contribution to journal › Article

*Advances in Theoretical and Mathematical Physics*, vol. 9, no. 1, pp. 1-30.

}

TY - JOUR

T1 - Some uniqueness results for dynamical horizons

AU - Ashtekar, Abhay

AU - Galloway, Gregory J

PY - 2005/1

Y1 - 2005/1

N2 - We first show that the intrinsic, geometrical structure of a dynamical horizon (DH) is unique. A number of physically interesting constraints are then established on the location of trapped and marginally trapped surfaces in the vicinity of any DH. These restrictions are used to prove several uniqueness theorems for DH. Ramifications of some of these results to numerical simulations of black hole spacetimes are discussed. Finally, several expectations on the interplay between isometries and DHs are shown to be borne out.

AB - We first show that the intrinsic, geometrical structure of a dynamical horizon (DH) is unique. A number of physically interesting constraints are then established on the location of trapped and marginally trapped surfaces in the vicinity of any DH. These restrictions are used to prove several uniqueness theorems for DH. Ramifications of some of these results to numerical simulations of black hole spacetimes are discussed. Finally, several expectations on the interplay between isometries and DHs are shown to be borne out.

UR - http://www.scopus.com/inward/record.url?scp=33745861945&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33745861945&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33745861945

VL - 9

SP - 1

EP - 30

JO - Advances in Theoretical and Mathematical Physics

JF - Advances in Theoretical and Mathematical Physics

SN - 1095-0761

IS - 1

ER -