Born--Infeld-type electrodynamics and magnetic black holes

Abstract

We investigate a Born--Infeld-type model of nonlinear electrodynamics, possessing three parameters, coupled with general relativity. As a particular case Born--Infeld electrodynamics is reproduced. There is no singularity of the electric field at the centre of point-like charged particles and self-energy of charges is finite in this model. The magnetized black hole is studied and solutions are obtained. We demonstrate that for some parameters of the model the black hole is regular. We find the asymptotic of the metric and mass functions at $r\to \infty$ and $r\to 0$, and corrections to the Reissner--Nordström solution. Thermodynamics of black holes is investigated. We calculate the Hawking temperature of black holes and show that black holes are not stable and there are phase transitions in the model under consideration.

15 pages, 6 figures, corrected Eq. (26) and Fig. 6

References in corpus (12)

• Regular black holes with a nonlinear electrodynamics source
• Notes on non-singular models of black holes
• Asymptotic Reissner-Nordstrom black holes
• Regular black holes: Electrically charged solutions, Reissner-Nordström outside a de Sitter core
• Effective Lagrangian in nonlinear electrodynamics and its properties of causality and unitarity
• Consequences of Dirac Theory of the Positron
• Nonlinear $\arcsin$-electrodynamics and asymptotic Reissner-Nordström black holes
• Black hole as a magnetic monopole within exponential nonlinear electrodynamics
• Nonlinear arcsin-electrodynamics
• Asymptotic Reissner-Nordström solution within nonlinear electrodynamics
• Remarks on nonlinear Electrodynamics
• Nonlinear Electrodynamics and black holes

Cited by in corpus (42)

• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Deflection angle of photon from magnetized black hole and effect of nonlinear electrodynamics
• Novel nonlinear electrodynamics black hole and related phenomena in the extended thermodynamics
• Effect of Non-linear Electrodynamics on Weak field deflection angle by Black Hole
• Photon ring structure of rotating regular black holes and no-horizon spacetimes
• Quasinormal modes of charged black holes with corrections from nonlinear electrodynamics
• The shadow of M87* black hole within rational nonlinear electrodynamics
• Stability of magnetic black holes in general nonlinear electrodynamics
• Magnetically charged black hole in framework of nonlinear electrodynamics model
• Dyonic and magnetic black holes with nonlinear arcsin-electrodynamics
• A Note on Critical Nonlinearly Charged Black Holes
• Electromagnetic Asymmetry, Relegation of Curvature Singularities of Charged Black Holes, and Cosmological Equations of State in View of the Born--Infeld Theory
• Dyonic black holes with nonlinear logarithmic electrodynamics
• Observational Appearances of Magnetically Charged Black Holes in Born-Infeld Electrodynamics
• Remarks on nonsingular models of Hayward and magnetized black hole with rational nonlinear 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
• On a model of magnetically charged black hole with nonlinear electrodynamics
• Dyonic and magnetized black holes based on nonlinear 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
• Black Hole Extremality in Nonlinear Electrodynamics: A Lesson for Weak Gravity and Festina Lente Bounds
• Regular model of magnetized black hole with rational nonlinear electrodynamics
• Dyonic Matter Equations, Exact Point-Source Solutions, and Charged Black Holes in Generalized Born--Infeld Theory
• Collective behavior of light in vacuum
• Gravitational Lensing in a Model of Nonlinear Electrodynamics: The case for electrically and magnetically charged compact objects
• Thermodynamics of a static electric-magnetic black hole in Einstein-Born-Infeld-AdS theory with different horizon geometries
• Born-Infeld boson stars
• Phenomenology of a Born-Infeld extension of the $U(1{)}_{\mathrm{Y}}$ sector at lepton colliders
• Non-linear Electrodynamics in Blandford-Znajeck Energy Extraction
• Nonlinear Problems Inspired by the Born--Infeld Theory of Electrodynamics
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Electroweak monopoles with a non-linearly realized weak hypercharge
• Holographic superconductor with nonlinear Born - Infeld-type electrodynamics
• Black holes in $f(R)$ gravity coupled to nonlinear electromagnetic fields
• Exact Multicentered Static Point Charge Source Distributions in the Born-Infeld Theory of Nonlinear Electromagnetism and Presence of Electric and Magnetic Currents
• On generalized ModMax model of nonlinear electrodynamics
• Interaction between two point-like charges in nonlinear electrostatics
• Vector Horndeski black holes in nonlinear electrodynamics
• Lovelock black holes with double-logarithmic electrodynamics source