Nonlinear $\arcsin$-electrodynamics and asymptotic Reissner-Nordström black holes

Abstract

A model of nonlinear electrodynamics with the Lagrangian density $\mathcal{L}=-(1/\beta )\arcsin (\beta F_{\mu \nu }{F}^{\mu \nu }/4)$ is proposed. The scale invariance and the dual invariance of electromagnetic fields are broken in the model. In the limit $\beta \to 0$ one comes to Maxwell's electrodynamics and the scale and dual invariances are recovered. We investigate the effect of coupling electromagnetic fields with the gravitational field. The asymptotic black hole solution is found which is similar to the Reissner-Nordström solution. We obtain corrections to Coulomb's law and to the Reissner-Nordström solution in the model proposed. The existence of the regular asymptotic at $r\to 0$ was demonstrated. The mass of the black hole is calculated possessing the electromagnetic origin. It was shown that there are not superluminal fluctuations and principles of causality and unitarity take place.

arXiv comment19 pages, 4 figures, to appear in Ann. Phys. (Berlin)

References in corpus (31)

• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
• Regular electrically charged structures in Nonlinear Electrodynamics coupled to General Relativity
• Regular black holes with a nonlinear electrodynamics source
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Non-linear electrodynamics and the acceleration of the universe
• Black hole solutions in Euler-Heisenberg theory
• Asymptotic Reissner-Nordstrom black holes
• SL(2,R) Invariance of Non-Linear Electrodynamics Coupled to An Axion and a Dilaton
• Born-Infeld Quantum Condensate as Dark Energy in the Universe
• A cosmological constant from the QCD trace anomaly?
• A model of nonlinear electrodynamics
• Nonsingular FRW cosmology and nonlinear electrodynamics
• Born-Infeld black hole in the isolated horizon framework
• Universe acceleration and nonlinear electrodynamics
• Cosmological Effects of Nonlinear Electrodynamics
• No compelling cosmological models come out of magnetic universes which are based in nonlinear electrodynamics
• Effective Lagrangian in nonlinear electrodynamics and its properties of causality and unitarity
• Consequences of Dirac Theory of the Positron
• Thermodynamics of Conformal Anomaly Corrected Black Holes in AdS Space
• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• Nonlinear arcsin-electrodynamics
• Acceleration of Universe by Nonlinear Electromagnetic Fields
• Born-Infeld Cosmologies
• Homogeneous and isotropic cosmologies with nonlinear electromagnetic radiation
• On Generalized Logarithmic Electrodynamics
• Nonlinear electrodynamics with birefringence
• Dark Energy Content of Nonlinear Electromagnetism
• Note on "Finite Field-Energy and Interparticle Potential in Logarithmic Electrodynamics"
• Nonlinear electrodynamics and black holes

Cited by in corpus (41)

• Introductory Notes on Non-linear Electrodynamics and its Applications
• Deflection angle of photon from magnetized black hole and effect of nonlinear electrodynamics
• Nonlinear electrodynamics and magnetic black holes
• Black hole as a magnetic monopole within exponential nonlinear electrodynamics
• Born--Infeld-type electrodynamics and magnetic black holes
• Asymptotic Reissner-Nordström solution within nonlinear electrodynamics
• Magnetic black holes with generalized ModMax model of nonlinear electrodynamics
• The shadow of M87* black hole within rational nonlinear electrodynamics
• Shadow and deflection angle of asymptotic, magnetically-charged, non-singular black hole
• Particle motion around generic black holes coupled to non-linear electrodynamics
• Magnetically charged black hole in framework of nonlinear electrodynamics model
• Dyonic and magnetic black holes with nonlinear arcsin-electrodynamics
• Electromagnetic Asymmetry, Relegation of Curvature Singularities of Charged Black Holes, and Cosmological Equations of State in View of the Born--Infeld Theory
• A Smarr formula for charged black holes in nonlinear electrodynamics
• Dyonic black holes with nonlinear logarithmic electrodynamics
• Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow
• Magnetized black holes and nonlinear 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
• Motions of Test Particles in Gravitational Field, Perturbations and Greybody Factor of Bardeen-like AdS Black Hole with Phantom Global Monopoles
• Solutions in Nonlinear Electrodynamics and their double copy regular black holes
• Corrections to Reissner-Nordström black hole solution due to exponential nonlinear electrodynamics
• 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
• Black hole solution in the framework of $\arctan$-electrodynamics
• Holographic superconductor with nonlinear arcsin-electrodynamics
• Dyonic Matter Equations, Exact Point-Source Solutions, and Charged Black Holes in Generalized Born--Infeld Theory
• CFT Phase Transition Analysis of Charged, Rotating Black Holes in $D=4$: A Holographic Thermodynamics Approach
• Magnetic solutions in Einstein-massive gravity with linear and nonlinear fields
• Nonlinear electrodynamics without singularities
• Gravitational Lensing in a Model of Nonlinear Electrodynamics: The case for electrically and magnetically charged compact objects
• Non-linear Electrodynamics in Blandford-Znajeck Energy Extraction
• $n+1$-dimensional Bertotti-Robinson solutions in gravity coupled with nonlinear electrodynamics
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Dyonic regular black bounce solutions in General Relativity
• Thermodynamics of blackbody radiation in nonlinear electrodynamics
• Conductivity and Shear Viscosity of $arcsin$-Yang-Mills AdS Black Brane
• Lovelock black holes with double-logarithmic electrodynamics source
• Charged Black Holes from Interacting Vacuum
• Regular Black Holes in General Relativity from Nonlinear Electrodynamics with de Sitter Cores