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

Abstract

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.

19 pages, 2 figures, replaced with published version

References in corpus (1)

• Extremality conditions for isolated and dynamical horizons

Cited by in corpus (2)

• Extremality conditions for isolated and dynamical horizons
• From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity