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.

arXiv comment18 pages and 19 figures

References in corpus (19)

• Formation and evaporation of non-singular black holes
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• The Bardeen Model as a Nonlinear Magnetic Monopole
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• Non-Singular Charged Black Hole Solution for Non-Linear Source
• Geometrothermodynamics
• Regular Black Holes and Topology Change
• Four Parametric Regular Black Hole Solution
• Regular black holes in quadratic gravity
• Open and Closed Universes, Initial Singularities and Inflation
• Geometrothermodynamics of black holes
• Quasinormal Modes of Bardeen Black Hole: Scalar Perturbations
• Gravitational lensing by a regular black hole
• Stability properties of black holes in self-gravitating nonlinear electrodynamics
• Phase transition, Quasinormal modes and Hawking radiation of Schwarzschild black hole in Quintessence field
• Thermodynamics and Spectroscopy of Schwarzschild black hole surrounded by Quintessence
• The geometry of thermodynamics
• Thermodynamics and Thermodynamic geometry of Park black hole
• Thermodynamic Geometry of Reissener-Nordström-de Sitter black hole and its extremal case

Cited by in corpus (23)

• Regular black holes: A short topic review
• Effects of Thermal Fluctuations on the Thermodynamics of Modified Hayward Black Hole
• Thermodynamics of a class of regular black holes with a generalized uncertainty principle
• Geometrical method for thermal instability of nonlinearly charged BTZ Black Holes
• Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity
• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• Joule-Thomson expansion for the regular(Bardeen)-AdS black hole
• Remarks on nonsingular models of Hayward and magnetized black hole with rational nonlinear electrodynamics
• Geodesic Structure of the Quantum-Corrected Schwarzschild Black Hole Surrounded by Quintessence
• $Q-\Phi$ criticality in the extended phase space of $(n+1)$-dimensional RN-AdS black holes
• Effect of Dark Energy in Geometrothermodynamics and Phase Transitions of Regular Bardeen AdS Black Hole
• Thermodynamics and Glassy Phase Transition of Regular Black Holes
• Thermodynamics of the Bardeen Black Hole in Anti-de Sitter Space
• Maxwell's equal area law for black holes in power Maxwell invariant
• Holographic explorations of regular black holes in pure gravity
• A consistent and unified picture for critical phenomena of $f(R)$ AdS black holes
• 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