Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics

Abstract

It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian $L(F)$, $F=F_{m}n{F}^{m}n$ having a correct weak field limit, leads to nontrivial static, spherically symmetric solutions with a globally regular metric if and only if the electric charge is zero and $L(F)$ tends to a finite limit as $F\to \infty$. Properties and examples of such solutions, which include magnetic black holes and soliton-like objects (monopoles), are discussed. Magnetic solutions are compared with their electric counterparts. A duality between solutions of different theories specified in two alternative formulations of NED (called $FP$ duality) is used as a tool for this comparison.

6 pages, Latex2e. One more theorem, some comments and two references have been added. Final journal version

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• Compact regular objects from an electrified Tolman-like density: A new interior region for the Kerr-Newman spacetime
• Three dimensional black bounces in $f(R)$ gravity
• Matter accretion versus semiclassical bounce in Schwarzschild interior
• Lovelock black holes with double-logarithmic electrodynamics source
• Vector Horndeski black holes in nonlinear electrodynamics
• Black holes and wormholes in Deser-Woodard gravity
• Perturbations of Einstein--Maxwell--phantom spacetime: Instabilities of charged Ellis--Bronnikov wormholes and quasinormal modes of black holes
• Instability of regular planar black holes in four dimensions arising from an infinite sum of curvature corrections
• Dynamics of Geodesics in Non-linear Electrodynamics Corrected Black Hole and Shadows of its Rotating Analogue
• Horizons, throats and bounces in hybrid metric-Palatini gravity with a non-zero potential
• Effect of nonlinear electrodynamics on polarization distribution around black hole
• Imaging the destruction of a rotating regular black hole
• A model of regular black hole satisfying the Weak Energy Condition
• Numerical parameterization of stationary axisymmetric black holes in a theory agnostic framework
• Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model
• GEMS embeddings of Hayward regular black holes in massless and massive gravities
• LQG inspired spacetimes as solutions of the Einstein equations
• Effective models of non-singular quantum black holes
• Scattering and absorption sections of nonlinear electromagnetic black holes
• Black bounces as magnetically charged phantom regular black holes in Einstein-nonlinear electrodynamics gravity coupled to a self-interacting scalar field
• Planckian charged black holes and their cosmological ramifications
• Light curves of the hot spots on circular orbits around generic regular black holes related to non-linear electrodynamics with Maxwellian weak-field Limit
• Bardeen-Kiselev black hole with cosmological constant
• Light Rings, Accretion Disks and Shadows of Hayward Boson Stars
• Evading Cauchy horizon excision in scalarized regular black holes
• Particle Motion Analysis in the Bronnikov black hole solution
• Noncommutative dyonic black holes sourced by nonlinear electromagnetic fields
• Sources of matter for wormholes in a k-essence theory
• A note on non-linear electrodynamics, regular black holes and the entropy function
• An obstruction and residual-completion theory for Newman--Janis deformations
• Regularized Black Hole Solution from a New String Cloud Source
• Nonperturbative Isentropic Processes in AdS Black Holes with Nonlinear Electrodynamics
• Charged Superradiant Instability of Spherically Symmetric Regular Black Holes in de Sitter Spacetime: Time- and Frequency-Domain Analysis
• Quasinormal modes of Charged Regular Black Hole
• Remark on near-horizon geometry of extreme regular black holes
• A cyclic cosmological model based on the f(ρ) modified theory of gravity
• Two shadows of a single black hole: Vacuum birefringence phenomena within Einstein-nonlinear-electrodynamics
• Thermodynamics and orbital structure of anti-de Sitter black holes in Palatini-inspired nonlinear electrodynamics
• Matter Maps to Geometry in Gravitational Collapse
• Shadows of generalised Hayward spacetimes : in vacuum and with plasma
• Frequency Shifts of photons emitted from geodesics of nonlinear electromagnetic black holes
• Nonlinear electrodynamics in magnetars: systematic effects on radius constraints and timing analysis
• How to obtain slow roll inflation driven by non-linear electrodynamics
• Memory burden effect of regular primordial black holes