SAdS black holes and spacetime atoms: a heuristic approach

Abstract

In this work, both extended phase space and holographic equipartition approaches are employed to develop an exact Van der Waals description of non--rotating $D=4$ SAdS black holes as an ensemble of spacetime atoms. After a possible microscopical interaction model is introduced, statistical mechanics techniques, with certain heuristic gravitational constraints, are used to derive the equation of state and the Bekenstein--Hawking entropy. The procedure is generalized to the charged $D=4$ SAdS black hole and to arbitrary $D\ge 3$ dimensions for the uncharged cases.

Accepted for publication in Gen. Rel. Grav

References in corpus (4)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Van der Waals black hole
• Black holes and Boyle's law -- the thermodynamics of the cosmological constant
• Black holes as gases of punctures with a chemical potential: Bose-Einstein condensation and logarithmic corrections to the entropy

Cited by in corpus (4)

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• Penrose-Rindler equation and horizon thermodynamics of stationary black holes