Some uniqueness results for dynamical horizons

Details Some uniqueness results for dynamical horizons Some uniqueness results for dynamical horizons

2005-03-26

arxiv.org/abs/gr-qc/0503109v4

Adv.Theor.Math.Phys. 9 (2005) 1-30

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, 4 figures, v4: references updated, minor corrections, to appear in Advances in Theoretical and Mathematical Physics

Scientific paper

We first show that the intrinsic, geometrical structure of a dynamical horizon 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 dynamical horizon. These restrictions are used to prove several uniqueness theorems for dynamical horizons. Ramifications of some of these results to numerical simulations of black hole spacetimes are discussed. Finally several expectations on the interplay between isometries and dynamical horizons are shown to be borne out.

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