1306.4516 (Mohammad Bagher Jahani Poshteh et al.)

On the phase transition, critical behavior, and critical exponents of
Myers-Perry black holes    [PDF]

Mohammad Bagher Jahani Poshteh, Behrouz Mirza, Zeinab Sherkatghanad

The critical behaviors of Myers-Perry (MP) black holes with equal angular momenta in even dimensions are studied. We include the corrections beyond semi-classical approximation on Hawking temperature in the grand canonical ensemble. Having done so, we find that the critical behavior and critical exponents of MP black holes correspond to those of the Van der Waals liquid-gas where this analogy holds in any dimension. Also, using the Ehrenfest's equations, we calculate the order of phase transition in semi-classical approximation for the canonical ensemble and beyond semi-classical approximation for the grand canonical ensemble near the critical point. Finally, the Ruppeiner curvature formula is used to investigate the thermodynamic geometry of Myers-Perry black holes.

View original: http://arxiv.org/abs/1306.4516