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 3 dimensions for the uncharged cases.

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