Extremality conditions for isolated and dynamical horizons
General Relativity and Quantum Cosmology
2008-11-26 v3
Abstract
A maximally rotating Kerr black hole is said to be extremal. In this paper we introduce the corresponding restrictions for isolated and dynamical horizons. These reduce to the standard notions for Kerr but in general do not require the horizon to be either stationary or rotationally symmetric. We consider physical implications and applications of these results. In particular we introduce a parameter e which characterizes how close a horizon is to extremality and should be calculable in numerical simulations.
Keywords
Cite
@article{arxiv.0708.2209,
title = {Extremality conditions for isolated and dynamical horizons},
author = {Ivan Booth and Stephen Fairhurst},
journal= {arXiv preprint arXiv:0708.2209},
year = {2008}
}
Comments
13 pages, 4 figures, added reference; v3 appendix added with proof of result from section IIID, some discussion and references added. Version to appear in PRD