Extremality conditions for isolated and dynamical horizons

Details Extremality conditions for isolated and dynamical horizons Extremality conditions for isolated and dynamical horizons

2007-08-16

arxiv.org/abs/0708.2209v3

Phys.Rev.D77:084005,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 4 figures, added reference; v3 appendix added with proof of result from section IIID, some discussion and references

Scientific paper

10.1103/PhysRevD.77.084005

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.

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