Entropy-Product Rules for Charged Rotating Black Holes

Abstract

We study the universal nature of the product of the entropies of all horizons of charged rotating black holes. We argue, by examining further explicit examples, that when the maximum number of rotations and/or charges are turned on, the entropy product is expressed in terms of angular momentum and/or charges only, which are quantized. (In the case of gauged supergravities, the entropy product depends on the gauge-coupling constant also.) In two-derivative gravities, the notion of the "maximum number" of charges can be defined as being sufficiently many non-zero charges that the Reissner-Nordstrom black hole arises under an appropriate specialisation of the charges. (The definition can be relaxed somewhat in charged AdS black holes in $D\ge 6$.) In higher-derivative gravity, we use the charged rotating black hole in Weyl-Maxwell gravity as an example for which the entropy product is still quantized, but it is expressed in terms of the angular momentum only, with no dependence on the charge. This suggests that the notion of maximum charges in higher-derivative gravities requires further understanding.

References added. 24 pages

References in corpus (7)

• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Greybody Factors and Charges in Kerr/CFT
• Black Holes, Qubits and Octonions
• Subtracted Geometry From Harrison Transformations
• Charged Dilatonic AdS Black Holes and Magnetic AdS_{D-2} x R^2 Vacua
• Universal properties of distorted Kerr-Newman black holes
• Attraction, with Boundaries

Cited by in corpus (34)

• AdS Dyonic Black Hole and its Thermodynamics
• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• Black holes in N=8 supergravity from SO(4,4) hidden symmetries
• Seed for general rotating non-extremal black holes of N=8 supergravity
• Thermodynamical Structure of AdS Black Holes in Massive Gravity with Stringy Gauge-Gravity Corrections
• Killing Horizons: Negative Temperatures and Entropy Super-Additivity
• The Cheshire Cap
• The Entropy Relations of Black Holes with Multihorizons in Higher Dimensions
• A Note on Entropy Relations of Black Hole Horizons
• The Entropy Sum of (A)dS Black Holes in Four and Higher Dimensions
• Quantum-corrected two-dimensional Horava-Lifshitz black hole entropy
• Area Products and Mass Formula for Kerr-Newman-Taub-NUT Space-time
• Conserved charges of black holes in Weyl and Einstein-Gauss-Bonnet gravities
• Thermodynamic Products for Sen Black Hole
• Baby de Sitter Black Holes and dS${}_3$/CFT${}_2$
• SL(n,R)-Toda Black Holes
• Thermodynamic relations for entropy and temperature of multi-horizons black holes
• Entropy Bound of Horizons for Accelerating, Rotating and Charged Plebanski-Demianski Black Hole
• Higher-$n$ triangular dilatonic black holes
• 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
• Universality of Area Product: Solutions with Conical Singularity
• Area (or entropy) products for Newman-Unti-Tamburino class of Black Holes
• More on the Entropy Product and Dual CFTs
• Entropy Production in the Inflationary Epoch Using the Gouy-Stodola Theorem
• Regular Black Holes: Entropy Products and Central Charges
• Universal entropy relations: entropy formulae and entropy bound
• Thermodynamic Properties of Kehagias-Sfetsos Black Hole \& KS/CFT Correspondence
• Notes on sums over horizons
• Chiral Symmetry Restoration using the Running Coupling Constant from the Light-Front Approach to QCD
• Bekenstein-Hawking Entropy Products for NUT class of Black Holes in AdS Space
• Quantum Quintom Cosmology
• Angular Momentum-Free of the Entropy Relations for Rotating Kaluza-Klein Black Holes