Thermodynamics and geometrothermodynamics of regular black holes

Abstract

We assume the validity of the Bekenstein-Hawking entropy, as given in terms of the horizon area of the Bardeen regular black hole, and consider it as the fundamental thermodynamic equation. We derive and investigate the behavior of the main thermodynamic variables. Using the formalism of geometrothermodynamics, we derive the geometric properties of the corresponding equilibrium space and show that the curvature contains information about the stability properties and phase transition structure of the black hole.