Some uniqueness results for dynamical horizons
General Relativity and Quantum Cosmology
2007-05-23 v4 Differential Geometry
Abstract
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.
Cite
@article{arxiv.gr-qc/0503109,
title = {Some uniqueness results for dynamical horizons},
author = {Abhay Ashtekar and Gregory J. Galloway},
journal= {arXiv preprint arXiv:gr-qc/0503109},
year = {2007}
}
Comments
26 pages, 4 figures, v4: references updated, minor corrections, to appear in Advances in Theoretical and Mathematical Physics