On The Phase Structure and Thermodynamic Geometry of R-Charged Black Holes

TL;DR

This paper explores the phase transitions and thermodynamic geometry of R-charged black holes in various dimensions, revealing liquid-gas like behavior, critical points, and stability constraints, with implications for black hole thermodynamics.

Contribution

It provides a detailed analysis of phase structures and equilibrium state space geometry of R-charged black holes across multiple dimensions, identifying new phase coexistence behaviors and stability conditions.

Findings

Discovery of liquid-gas like phase coexistence in R-charged black holes.

Identification of second order critical points with universal critical exponents.

Calculation of equilibrium state space scalar curvature and its temperature dependence.

Abstract

We study the phase structure and equilibrium state space geometry of R-charged black holes in $D = 5$, 4 and 7 and the corresponding rotating $D3$, $M2$ and $M5$ branes. For various charge configurations of the compact black holes in the canonical ensemble we demonstrate new liquid-gas like phase coexistence behaviour culminating in second order critical points. The critical exponents turn out to be the same as that of four dimensional asymptotically AdS black holes in Einstein Maxwell theory. We further establish that the regions of stability for R-charged black holes are, in some cases, more constrained than is currently believed, due to properties of some of the response coefficients. The equilibrium state space scalar curvature is calculated for various charge configurations, both for the case of compact as well as flat horizons and its asymptotic behaviour with temperature is established.