Open Access
January 2005 Some uniqueness results for dynamical horizons
Abhay Ashtekar, Gregory J. Galloway
Adv. Theor. Math. Phys. 9(1): 1-30 (January 2005).


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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Abhay Ashtekar. Gregory J. Galloway. "Some uniqueness results for dynamical horizons." Adv. Theor. Math. Phys. 9 (1) 1 - 30, January 2005.


Published: January 2005
First available in Project Euclid: 29 March 2006

zbMATH: 1100.83016
MathSciNet: MR2193368

Primary: 83Cxx

Rights: Copyright © 2005 International Press of Boston

Vol.9 • No. 1 • January 2005
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