Phase transition, critical behavior, and critical exponents of Myers-Perry black holes

TL;DR

This paper investigates the critical phenomena and phase transitions of Myers-Perry black holes across various dimensions, revealing their behavior aligns with Van der Waals systems and analyzing their thermodynamic geometry.

Contribution

It extends the understanding of Myers-Perry black hole thermodynamics by including quantum corrections and analyzing phase transitions in different ensembles.

Findings

Critical exponents match Van der Waals liquid-gas behavior.

Phase transition order determined using Ehrenfest's equations.

Thermodynamic geometry analyzed via Ruppeiner curvature.

Abstract

The critical behavior of Myers-Perry black holes with equal angular momenta in even dimensions are studied. We include the corrections beyond the semiclassical approximation on Hawking temperature in the grand canonical ensemble. Having done so, we find that the critical behavior and critical exponents of Myers-Perry black holes correspond to those of a Van der Waals liquid-gas where this analogy holds in any dimension. Also, using Ehrenfest's equations, we calculate the order of the phase transition in the semiclassical approximation for the canonical ensemble and beyond the semiclassical 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.