Magnetized black holes and nonlinear electrodynamics

Abstract

A new model of nonlinear electrodynamics with two parameters is proposed. We study the phenomenon of vacuum birefringence, the causality and unitarity in this model. There is no singularity of the electric field in the center of point-like charges and the total electrostatic energy is finite. We obtain corrections to the Coulomb law at $r\to \infty$. The weak, dominant and strong energy conditions are investigated. Magnetized charged black hole is considered and we evaluate the mass, metric function and their asymptotic at $r\to \infty$ and $r\to 0$. The magnetic mass of the black hole is calculated. The thermodynamic properties and thermal stability of regular black holes are discussed. We calculate the Hawking temperature of black holes and show that there are first-order and second-order phase transitions. The parameters of the model when the black hole is stable are found.

24 pages, 2 tables, 7 figures, corrected typo in Eq. (57)

References in corpus (16)

• Regular black holes with a nonlinear electrodynamics source
• Asymptotic Reissner-Nordstrom black holes
• Regular black holes: Electrically charged solutions, Reissner-Nordström outside a de Sitter core
• A model of nonlinear electrodynamics
• Universe acceleration and nonlinear electrodynamics
• Cosmological Effects of Nonlinear Electrodynamics
• Effective Lagrangian in nonlinear electrodynamics and its properties of causality and unitarity
• First results from the new PVLAS apparatus: a new limit on vacuum magnetic birefringence
• Nonlinear $\arcsin$-electrodynamics and asymptotic Reissner-Nordström black holes
• Nonlinear arcsin-electrodynamics
• Acceleration of Universe by Nonlinear Electromagnetic Fields
• Homogeneous and isotropic cosmologies with nonlinear electromagnetic radiation
• Asymptotic Reissner-Nordström solution within nonlinear electrodynamics
• Nonlinear Electromagnetic Fields As a Source of Universe Acceleration
• Modified nonlinear model of arcsin-electrodynamics
• Nonlinear electrodynamics and black holes

Cited by in corpus (16)

• Deflection angle of photon from magnetized black hole and effect of nonlinear electrodynamics
• Effect of Non-linear Electrodynamics on Weak field deflection angle by Black Hole
• The shadow of M87* black hole within rational nonlinear electrodynamics
• A Note on Critical Nonlinearly Charged Black Holes
• Dyonic black holes with nonlinear logarithmic electrodynamics
• Black Holes in Double-Logarithmic Nonlinear Electrodynamics
• Geodesic of nonlinear electrodynamics and stable photon orbits
• Dyonic black holes in framework of Born--Infeld-type electrodynamics
• Deflection of light by a Coulomb charge in Born-Infeld electrodynamics
• Einstein-non-linear Maxwell-Yukawa black hole
• Magnetic black holes in AdS space with nonlinear electrodynamics, extended phase space thermodynamics and Joule--Thomson expansion
• Orbits of particles with magnetic dipole moment around magnetized Schwarzschild black holes: Applications to S2 star orbit
• Novel charged black hole solutions of Born-Infeld type: General properties, Smarr formula and Quasinormal frequencies
• Charged black holes from a family of Born-Infeld-type electrodynamics models
• A new nonlinear electrodynamics and electrically charged regular black holes
• Lovelock black holes with double-logarithmic electrodynamics source