Geometric relations for rotating and charged AdS black holes

Abstract

We derive mass-independent equations and inequalities for Kerr-Newman-anti-de Sitter black holes. In particular, we obtain an equation that relates electric charge, angular momentum and the areas of the event and Cauchy horizons. An area-angular momentum-charge inequality is derived from this formula, which becomes an equality in the degenerate limit. The same equation is shown to hold for arbitrary degenerate black holes, which might, for example, be surrounded by matter.

10 pages

References in corpus (4)

• Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
• Area products for stationary black hole horizons
• Extremality conditions for isolated and dynamical horizons
• Universal properties of distorted Kerr-Newman black holes

Cited by in corpus (11)

• Horizon Areas and Logarithmic Correction to the Charged Accelerating Black Hole Entropy
• Geometrical inequalities bounding angular momentum and charges in General Relativity
• Area(or Entropy) Product Formula for a Regular Black Hole
• CFT and Logarithmic Corrections to the Black Hole Entropy Product Formula
• Logarithmic Corrections in Black Hole Entropy Product Formula
• Area Functional Relation for 5D-Gauss-Bonnet-AdS Black Hole
• Logarithmic Corrections to the Black Hole Entropy Product of ${\mathcal{H}}^{\pm }$ via Cardy Formula
• Thermodynamic Product Relations for Generalized Regular Black Hole
• Mass Independent Area (or Entropy) and Thermodynamic Volume Products in Conformal Gravity
• Area products for ${\mathcal{H}}^{\pm }$ in AdS space
• Thermodynamic Volume Product in Spherically Symmetric and Axisymmetric Spacetime