Abstract

Within the framework of extended thermodynamics, black hole entropy is expected to receive corrections from thermal fluctuations as well as fluctuations of its thermodynamic volume around equilibrium. Working in the isothermal-isobaric ensemble with the cosmological constant playing the role of a barostat, we find the general form of these corrections. The result is then used to compute entropy corrections for a large variety of black holes in anti-de Sitter spacetimes.

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