Some uniqueness results for dynamical horizons

Abhay Ashtekar, Gregory J. Galloway

Research output: Contribution to journalArticlepeer-review

109 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 languageEnglish (US)
Pages (from-to)1-30
Number of pages30
JournalAdvances in Theoretical and Mathematical Physics
Volume9
Issue number1
DOIs
StatePublished - Jan 2005

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

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