A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter

Details A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter

2007-08-30

arxiv.org/abs/0708.4196v4

Class.Quant.Grav.25:035009,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 2 figures, replaced with published version

Scientific paper

10.1088/0264-9381/25/3/035009

We consider stationary, axially and equatorially symmetric systems consisting of a central rotating and charged degenerate black hole and surrounding matter. We show that $a^2+Q^2=M^2$ always holds provided that a continuous sequence of spacetimes can be identified, leading from the Kerr-Newman solution in electrovacuum to the solution in question. The quantity $a=J/M$ is the black hole's intrinsic angular momentum per unit mass, $Q$ its electric charge and $M$ the well known black hole mass parameter introduced by Christodoulou and Ruffini.

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