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 (3)

• Extremality conditions for isolated and dynamical horizons
• Black Holes Surrounded by Uniformly Rotating Rings
• Negative Komar Mass of Single Objects in Regular, Asymptotically Flat Spacetimes

Cited by in corpus (25)

• Stationary Black Holes: Uniqueness and Beyond
• The 1965 Penrose singularity theorem
• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Extremality conditions for isolated and dynamical horizons
• A universal inequality for axisymmetric and stationary black holes with surrounding matter in the Einstein-Maxwell theory
• Black hole Area-Angular momentum inequality in non-vacuum spacetimes
• Mass and Angular Momentum in General Relativity
• From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
• A universal inequality between angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter
• Area-charge inequality for black holes
• Universal properties of distorted Kerr-Newman black holes
• The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory: study in terms of soliton methods
• A Note on Entropy Relations of Black Hole Horizons
• Non-existence of stationary two-black-hole configurations: The degenerate case
• Geometrical inequalities bounding angular momentum and charges in General Relativity
• Black hole Area-Angular momentum-Charge inequality in dynamical non-vacuum spacetimes
• Geometric inequalities for black holes
• Properties of rotating Einstein-Maxwell-Dilaton black holes in odd dimensions
• Thermodynamic relations for entropy and temperature of multi-horizons black holes
• Cosmic String and Black Hole Limits of Toroidal Vlasov Bodies in General Relativity
• Super-Extremal Spinning Black Holes via Accretion
• Mass angular momentum and charge inequalities for black holes in Einstein-Maxwell-axion-dilaton gravity
• Angular momentum-area proportionality of extremal charged black holes in odd dimensions
• Stationary black-hole binaries: A non-existence proof
• Geometric inequalities in spherically symmetric spacetimes