Thermodynamics of AdS planar black holes and holography

Abstract

A large AdS Schwarzschild black hole can be approximated by an AdS planar black hole. However, the temperature of a planar black hole is not well defined due to the translational invariance of the horizon. We propose to fix this arbitrariness by imposing the entropy area law. Furthermore, using the AdS/CFT holography, we propose a relationship between the temperatures of an AdS planar and large AdS Schwarzschild black holes.

arXiv comment13 pages, clarifying comments added, typos corrected, published in JHEP

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Cited by in corpus (4)

• Black hole singularity resolution in unimodular gravity from unitarity
• Gauss-Bonnet AdS planar and spherical black hole thermodynamics and holography
• Deformations of the AdS-Schwarzschild black brane and the shear viscosity of the quark-gluon plasma
• Planar Black holes and Entanglement Entropy in Analog Gravity Models