Dyonic black holes in framework of Born--Infeld-type electrodynamics

Abstract

Dyonic black hole solutions with spherically symmetric configurations within general relativity are investigated where the source of the gravitational field is Born - Infeld-type electrodynamics. Corrections to Coulomb's law and Reissner - Nordstrom solutions are obtained. From principles of causality and unitarity we find the restriction on electric and magnetic fields. The Hawking temperature and the heat capacity of black holes are obtained. At some event horizons second-order phase transitions take place.

arXiv comment17 pages, 6 figures

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• Electromagnetic Asymmetry, Relegation of Curvature Singularities of Charged Black Holes, and Cosmological Equations of State in View of the Born--Infeld Theory
• Optical Features of Rotating Black Hole with Nonlinear Electrodynamics
• Einstein-Gauss-Bonnet gravity with rational nonlinear electrodynamics
• Dyonic Matter Equations, Exact Point-Source Solutions, and Charged Black Holes in Generalized Born--Infeld Theory
• Bianchi IX geometry and the Einstein-Maxwell theory
• Thermodynamics of a static electric-magnetic black hole in Einstein-Born-Infeld-AdS theory with different horizon geometries
• Nonlinear Problems Inspired by the Born--Infeld Theory of Electrodynamics
• Exact Multicentered Static Point Charge Source Distributions in the Born-Infeld Theory of Nonlinear Electromagnetism and Presence of Electric and Magnetic Currents