Maxwell's equal area law and the Hawking-Page phase transition

Understand

In this paper 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 T=T* in the temperature-entropy plane, in order to eliminate negative heat capacity black hole configurations.
• The construction we present here is reminiscent of the isobar cut in the pressure-volume plane which eliminates un-physical part of the Van der Walls curves below the critical temperature.
• Our construction also modifies the Hawking-Page phase transition.