Thermodynamic Geometry of AdS Black Holes and Black Holes in a Cavity

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The thermodynamic geometry has been proved to be quite useful in understanding the microscopic structure of black holes.

• We investigate the phase structure, thermodynamic geometry and critical behavior of a Reissner-Nordstrom-AdS black hole and a Reissner-Nordstrom black hole in a cavity, which can reach equilibrium in a canonical ensemble.
• Although the phase structure and critical behavior of both cases show striking resemblance, we find that there exist significant differences between the thermodynamic geometry of these two cases.
• Our results imply that there may be a connection between the black hole microstates and its boundary condition.