Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions

Abstract

We present explicit results for the product of all horizon areas for general rotating multi-charge black holes, both in asymptotically flat and asymptotically anti-de Sitter spacetimes in four and higher dimensions. The expressions are universal, and depend only on the quantized charges, quantized angular momenta and the cosmological constant. If the latter is also quantized these universal results may provide a "looking glass" for probing the microscopics of general black holes.

4 pages

References in corpus (9)

• Greybody Factors and Charges in Kerr/CFT
• Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
• Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines
• Extremality conditions for isolated and dynamical horizons
• The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter
• Equal charge black holes and seven dimensional gauged supergravity
• Universal properties of distorted Kerr-Newman black holes
• A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter
• New Rotating Non-Extremal Black Holes in D=5 Maximal Gauged Supergravity

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• Thermodynamic Product Formula for Hořava Lifshitz Black Hole
• Phase Transitions in Warped AdS${}_3$ Gravity
• Holographic Descriptions of Black Rings
• RN/CFT Correspondence From Thermodynamics
• Hot Attractors
• Mass Dependence of the Entropy Product and Sum
• An Analysis of the Wave Equation for the $U(1{)}^2$ Gauged Supergravity Black Hole
• Wave Equation for the Wu Black Hole
• Hairy black holes in N=2 gauged supergravity
• Thermodynamics of two-dimensional conformal field theory dual to black holes