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Maxwell’s Equal Area Law and the Hawking-Page Phase Transition

Maxwell’s Equal Area Law and the Hawking-Page Phase Transition

We study the phases of a Schwarzschild black hole in the Anti-deSitter background geometry. Exploiting fluid/gravity duality, we construct the Maxwell equal area isotherm in the temperature-entropy plane, in order to eliminate negative heat capacity BHs. The construction we present here is reminiscent of the isobar cut in the pressure-volume …