Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole

Understand

We discuss a scheme based on Ehrenfest like equations to exhibit and classify transitions between two phases (with "smaller" and "larger" masses) of Kerr AdS black holes.

• We show that for fixed angular velocity this phase transition is of second order as both Ehrenfest's equations are satisfied.
• Finally we make a close connection of the results found from this analysis with those obtained from the thermodynamic state space geometry approach.