On the Universality of Inner Black Hole Mechanics and Higher Curvature Gravity

Abstract

Black holes are famous for their universal behavior. New thermodynamic relations have been found recently for the product of gravitational entropies over all the horizons of a given stationary black hole. This product has been found to be independent of the mass for all such solutions of Einstein-Maxwell theory in d=4,5. We study the universality of this mass independence by introducing a number of possible higher curvature corrections to the gravitational action. We consider finite temperature black holes with both asymptotically flat and (A)dS boundary conditions. Although we find examples for which mass independence of the horizon entropy product continues to hold, we show that the universality of this property fails in general. We also derive further thermodynamic properties of inner horizons, such as the first law and Smarr relation, in the higher curvature theories under consideration, as well as a set of relations between thermodynamic potentials on the inner and outer horizons that follow from the horizon entropy product, whether or not it is mass independent.

26 pages

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• Black holes in N=8 supergravity from SO(4,4) hidden symmetries
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• Higher Order Corrections to Holographic Black Hole Chemistry
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• Thermodynamics of rotating black holes and black rings: phase transitions and thermodynamic volume
• On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
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• Multicritical Phase Transitions in Lovelock AdS Black Holes
• The Entropy Relations of Black Holes with Multihorizons in Higher Dimensions
• Ruppeiner geometry and thermodynamic phase transition of the black hole in massive gravity
• The Universal Property of the Entropy Sum of Black Holes in All Dimensions
• Thermodynamics of Exotic Black Holes in Lovelock Gravity
• The Entropy Sum of (A)dS Black Holes in Four and Higher Dimensions
• Thermodynamics of Dyonic NUT Charged Black Holes with Entropy as Noether Charge
• Thermodynamic Products in Extended Phase Space
• Baby de Sitter Black Holes and dS${}_3$/CFT${}_2$
• Thermodynamic relations for entropy and temperature of multi-horizons black holes
• Entropy Bound of Horizons for Accelerating, Rotating and Charged Plebanski-Demianski Black Hole
• Phase transitions in Bergshoeff-Hohm-Townsend Massive Gravity
• Hot Attractors
• Kerr-Newman Black Holes with String Corrections
• Thermodynamically Stable Phases of Asymptotically Flat Lovelock Black Holes
• An Analysis of the Wave Equation for the $U(1{)}^2$ Gauged Supergravity Black Hole
• Universality of Area Product: Solutions with Conical Singularity
• On the universality of thermodynamics and $\eta /s$ ratio for the charged Lovelock black branes
• Wave Equation for the Wu Black Hole
• Meronic AdS Black Holes in Gauss-Bonnet Theory
• Thermodynamic approach to field equations in Lovelock gravity and f(R) gravity revisited
• Gravitational phase transition mediated by thermalon in Einstein-Gauss-Bonnet-Maxwell-Kalb-Ramond gravity
• Bulk-Boundary Thermodynamics of Charged Black Holes in Higher Derivative Theory
• Gravitational AdS to dS phase transition in Einstein-Maxwell-Gauss-Bonnet gravity
• More on the Entropy Product and Dual CFTs
• $\lambda$ phase transition in Horava gravity
• Evolving black hole horizons in General Relativity and alternative gravity
• Area Functional Relation for 5D-Gauss-Bonnet-AdS Black Hole
• Universal entropy relations: entropy formulae and entropy bound
• Generalized Hot Attractors
• Regular Black Holes: Entropy Products and Central Charges
• Area products for ${\mathcal{H}}^{\pm }$ in AdS space
• Quantum Corrected Schwarzschild Black Hole: Inner Horizon Thermodynamic Behaviors
• Angular Momentum-Free of the Entropy Relations for Rotating Kaluza-Klein Black Holes
• Effects of Gauss-Bonnet gravity on thermodynamics of (3+1)$-D$ AdS black holes
• Black Hole Thermodynamic Products in Einstein Gauss Bonnet Gravity