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.

17 pages, 6 figures

References in corpus (21)

• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Regular black holes with a nonlinear electrodynamics source
• Hall conductivity from dyonic black holes
• A Holographic Superconductor in an External Magnetic Field
• Asymptotic Reissner-Nordstrom black holes
• Regular black holes: Electrically charged solutions, Reissner-Nordström outside a de Sitter core
• A model of nonlinear electrodynamics
• Cosmological Effects of Nonlinear Electrodynamics
• Nonlinear electrodynamics and magnetic black holes
• Effective Lagrangian in nonlinear electrodynamics and its properties of causality and unitarity
• Nonlinear $\arcsin$-electrodynamics and asymptotic Reissner-Nordström black holes
• Nonlinear arcsin-electrodynamics
• Asymptotic Reissner-Nordström solution within nonlinear electrodynamics
• Homogeneous and isotropic cosmologies with nonlinear electromagnetic radiation
• Nonlinear Electromagnetic Fields As a Source of Universe Acceleration
• Dyonic AdS black holes from magnetohydrodynamics
• On Generalized Logarithmic Electrodynamics
• Nonlinear electrodynamics and black holes
• Thermodynamic instability of topological black holes in Gauss-Bonnet gravity with a generalized electrodynamics
• Corrections to Reissner-Nordström black hole solution due to exponential nonlinear electrodynamics
• Dyonic black holes at arbitrary locations

Cited by in corpus (6)

• 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
• 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