Some uniqueness results for dynamical horizons

Abhay Ashtekar; Gregory J. Galloway

doi:10.4310/ATMP.2005.v9.n1.a1

Some uniqueness results for dynamical horizons

Abhay Ashtekar, Gregory J. Galloway

Research output: Contribution to journal › Article › peer-review

132 Scopus citations

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
DOIs	https://doi.org/10.4310/ATMP.2005.v9.n1.a1
State	Published - Jan 2005

All Science Journal Classification (ASJC) codes

General Mathematics
General Physics and Astronomy

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10.4310/ATMP.2005.v9.n1.a1

Cite this

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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.

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Some uniqueness results for dynamical horizons

Abstract

All Science Journal Classification (ASJC) codes

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