Geometrothermodynamics of black holes in two dimensions

TL;DR

This paper explores the thermodynamic geometry of two-dimensional dilatonic black holes, revealing how their thermodynamic curvature indicates interaction strength and phase transitions, with flat spacetime corresponding to zero curvature.

Contribution

It demonstrates that thermodynamic curvature accurately reflects interaction and phase transitions in 2D black holes, linking geometric properties to physical thermodynamic behavior.

Findings

Thermodynamic curvature vanishes only in flat spacetime.

Curvature correctly indicates thermodynamic interactions.

Behavior of phase transitions is captured by the curvature.

Abstract

We study the properties of two-dimensional dilatonic black holes from the viewpoint of geometrothermodynamics. We show that the thermodynamic curvature of the equilibrium space vanishes only in the case of a flat spacetime, and it reproduces correctly the behavior of the thermodynamic interaction and phase transition structure of the corresponding black hole configurations.