Phase transitions and Geometrothermodynamics of Regular black holes

Abstract

In this paper we study the thermodynamics and state space geometry of regular black hole solutions such as Bardeen black hole, Ayón-Beato and García black hole, Hayward black hole and Berej-Matyjasek-Trynieki-Wornowicz black hole. We find that all these black holes show second order thermodynamic phase transitions(SOTPT) by observing discontinuities in heat capacity-entropy graphs as well as the cusp type double point in free energy-temperature graph. Using the formulation of geometrothermodynamics we again find the singularities in the heat capacity of the black holes by calculating the curvature scalar of the Legendre invariant metric.

18 pages and 19 figures

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• Geometrothermodynamics
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• Geometrothermodynamics of black holes
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• Phase transition, Quasinormal modes and Hawking radiation of Schwarzschild black hole in Quintessence field
• Thermodynamics and Spectroscopy of Schwarzschild black hole surrounded by Quintessence
• Thermodynamics and Thermodynamic geometry of Park black hole
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• Remarks on nonsingular models of Hayward and magnetized black hole with rational nonlinear electrodynamics
• Holographic explorations of regular black holes in pure gravity
• A regular black hole as the final state of evolution of a singular black hole
• Regular model of magnetized black hole with rational nonlinear electrodynamics
• Stability of remnants of Bardeen regular black holes in presence of thermal fluctuations
• The general expression for $f(T)$ in a charged cylindrical spacetime with diverse dimensions
• Gravitational Entropy of Hayward Black Hole
• Thermodynamic Phase Transitions and Quantum Entropy Corrections in the Simpson-Visser Regular Black Hole
• GEMS embeddings of Hayward regular black holes in massless and massive gravities