Regular model of magnetized black hole with rational nonlinear electrodynamics

Abstract

A modified Hayward metric of magnetically charged black hole space-time based on rational nonlinear electrodynamics with the Lagrangian $\mathcal{L}=-\mathcal{F}/(1+2\beta \mathcal{F})$ is considered. We introduce the fundamental length, characterizing quantum gravity effects. If the fundamental length vanishes the general relativity coupling to rational nonlinear electrodynamics is recovered. We obtain corrections to the Reissner--Nordström solution as the radius approaches infinity. The metric possesses a de Sitter core without singularities as $r\to 0$. The Hawking temperature and the heat capacity are calculated. It was shown that phase transitions occur and black holes are thermodynamically stable at some event horizon radii. We demonstrate that curvature invariants are bounded and the limiting curvature conjecture takes place.

arXiv comment14 pages, 6 figures, accepted in IJMPA

References in corpus (27)

• Formation and evaporation of non-singular black holes
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• Regular black holes with a nonlinear electrodynamics source
• Notes on non-singular models of black holes
• Regular Black Holes and Topology Change
• Charged black points in General Relativity coupled to the logarithmic $U(1)$ gauge theory
• Quasinormal modes of regular black holes
• Asymptotic Reissner-Nordstrom black holes
• Open and Closed Universes, Initial Singularities and Inflation
• A model of nonlinear electrodynamics
• How Many New Worlds Are Inside a Black Hole?
• Nonlinear electrodynamics, regular black holes and wormholes
• Nonlinear electrodynamics and magnetic black holes
• Thermodynamics of regular black hole
• Black hole as a magnetic monopole within exponential nonlinear electrodynamics
• Nonlinear arcsin-electrodynamics
• Born--Infeld-type electrodynamics and magnetic black holes
• Quantum Cooling Evaporation Process in Regular Black Holes
• About Black Holes Without Trapping Interior
• The shadow of M87* black hole within rational nonlinear electrodynamics
• Phase transitions and Geometrothermodynamics of Regular black holes
• On Generalized Logarithmic Electrodynamics
• Remarks on nonsingular models of Hayward and magnetized black hole with rational nonlinear electrodynamics
• Asymptotic magnetically charged non-singular black hole and its thermodynamics
• Rational nonlinear electrodynamics causes the inflation of the universe
• On a model of magnetically charged black hole with nonlinear electrodynamics

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• On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows
• Black Hole Extremality in Nonlinear Electrodynamics: A Lesson for Weak Gravity and Festina Lente Bounds
• Structure of test magnetic fields and charged particle motion around the Hayward spacetime
• Lovelock black holes with double-logarithmic electrodynamics source