Some uniqueness results for dynamical horizons

Abhay Ashtekar, Gregory J Galloway

Research output: Contribution to journalArticle

90 Citations (Scopus)

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
StatePublished - Jan 2005

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uniqueness
horizon
Horizon
Uniqueness
uniqueness theorem
Ramification
Uniqueness Theorem
Isometry
Black Holes
constrictions
Space-time
Restriction
Numerical Simulation
simulation

ASJC Scopus subject areas

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

Cite this

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

In: Advances in Theoretical and Mathematical Physics, Vol. 9, No. 1, 01.2005, p. 1-30.

Research output: Contribution to journalArticle

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