Geometrothermodynamics of black holes with a nonlinear source

TL;DR

This paper explores the thermodynamic and geometric properties of a specific black hole with a nonlinear source, extending the equilibrium space to include curvature radius as a variable, and relates geometric features to thermodynamic behavior.

Contribution

It introduces an extended thermodynamic space incorporating curvature radius and applies geometrothermodynamics to analyze phase transitions and critical points of black holes with nonlinear sources.

Findings

Geometric properties reveal thermodynamic interactions.

Identification of critical points and phase transitions.

Compatibility with classical black hole thermodynamics.

Abstract

We study thermodynamics and geometrothermodynamics of a particular black hole configuration with a nonlinear source. We use the mass as fundamental equation, from which it follows that the curvature radius must be considered as a thermodynamic variable, leading to an extended equilibrium space. Using the formalism of geometrothermodynamics, we show that the geometric properties of the thermodynamic equilibrium space can be used to obtain information about thermodynamic interaction, critical points and phase transitions. We show that these results are compatible with the results obtained from classical black hole thermodynamics.