Bardeen Regular Black Hole With an Electric Source

Abstract

If some energy conditions on the stress-energy tensor are violated, is possible construct regular black holes in General Relativity and in alternative theories of gravity. This type of solution has horizons but does not present singularities. The first regular black hole was presented by Bardeen and can be obtained from Einstein equations in the presence of an electromagnetic field. E. Ayon-Beato and A. Garcia reinterpreted the Bardeen metric as a magnetic solution of General Relativity coupled to a nonlinear electrodynamics. In this work show that the Bardeen model may also be interpreted as a solutions of Einstein equations in the presence of a electric source, whose electric field does not behaves as a Coulomb field. We analyzed the asymptotic forms of the Lagrangian for the electric case and also analyzed the energy conditions.

arXiv comment9 pages, 8 figures

References in corpus (40)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• The Bardeen Model as a Nonlinear Magnetic Monopole
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• Shadows of Kerr black holes with scalar hair
• Rotating regular black holes
• Construction of Regular Black Holes in General Relativity
• Regular electrically charged structures in Nonlinear Electrodynamics coupled to General Relativity
• The Nature of Space and Time
• Regular black holes with a nonlinear electrodynamics source
• Generating rotating regular black hole solutions without complexification
• Rotating Regular Black Hole Solution
• Regular black hole metrics and the weak energy condition
• Four Parametric Regular Black Hole Solution
• Shadows of Kerr black holes with and without scalar hair
• Regular black holes in quadratic gravity
• Kerr-Newman scalar clouds
• Regular rotating black holes and the weak energy condition
• Regular rotating electrically charged black holes and solitons in nonlinear electrodynamics minimally coupled to gravity
• On a regular charged black hole with a nonlinear electric source
• Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources
• Regular black holes in $f(T)$ Gravity through a nonlinear electrodynamics source
• Bardeen-de Sitter black holes
• Orbital fingerprints of ultralight scalar fields around black holes
• Regular black holes in $f(R)$ gravity coupled to nonlinear electrodynamics
• Stationary scalar configurations around extremal charged black holes
• The 1919 measurement of the deflection of light
• On regular rotating black holes
• Generalization of Regular Black Holes in General Relativity to $f(R)$ Gravity
• Using Dominant and Weak Energy Conditions for build New Classes of Regular Black Holes
• New solutions of charged regular black holes and their stability
• Born-Infeld and Charged Black Holes with non-linear source in $f(T)$ Gravity
• Regular Rotating Black Holes: A Review
• Asymptotic behaviour of Maxwell fields in higher dimensions
• On a regular modified Schwarzschild spacetime
• Regular Reissner-Nordström black hole solutions from linear electrodynamics

Cited by in corpus (70)

• Constraints on black-hole charges with the 2017 EHT observations of M87*
• Novel black-bounce spacetimes: wormholes, regularity, energy conditions, and causal structure
• Charged black-bounce spacetimes
• Deflection angle of photon from magnetized black hole and effect of nonlinear electrodynamics
• Bardeen Black Hole Thermodynamics from Topological Perspective
• Effect of Non-linear Electrodynamics on Weak field deflection angle by Black Hole
• Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics
• Source of black bounces in general relativity
• Regular black holes in $f(G)$ gravity
• Quasinormal modes of charged black holes with corrections from nonlinear electrodynamics
• Testing strong gravitational lensing effects by supermassive compact objects with regular spacetimes
• Electrically charged black holes in linear and nonlinear electrodynamics: Geodesic analysis and scalar absorption
• Coincident f(Q) gravity: black holes, regular black holes and black bounces
• Stability of magnetic black holes in general nonlinear electrodynamics
• Shadow and greybody bounding of a regular scale-dependent black hole solution
• Nonsingular black holes in nonlinear gravity coupled to Euler-Heisenberg electrodynamics
• Infinite tower of higher-curvature corrections: Quasinormal modes and late-time behavior of D-dimensional regular black holes
• Regular charged black holes, energy conditions and quasinormal modes
• Shadows, rings and optical appearance of a magnetically charged regular black hole illuminated by various accretion disks
• Regular multihorizon black holes in $f(G)$ gravity with nonlinear electrodynamics
• Bardeen solution with a cloud of strings
• Black-Bounce in $f(T)$ Gravity
• A new black hole coupled with nonlinear electrodynamics surrounded by quintessence: Thermodynamics, Geodesics, and Regge-Wheeler Potential
• Instability of nonsingular black holes in nonlinear electrodynamics
• Black Bounces with multiple throats and anti-throats
• Thermodynamics of a newly constructed black hole coupled with nonlinear electrodynamics and cloud of strings
• Tidal forces in dirty black hole spacetimes
• Exploring Nonlinear Electrodynamics Theories: Shadows of Regular Black Holes and Horizonless Ultra-Compact Objects
• Generalized Oppenheimer-Snyder Gravitational Collapse into Regular Black holes
• Geodesic of nonlinear electrodynamics and stable photon orbits
• Thermodynamics of Regular Black Holes in Anti-de Sitter Space
• Light deflection and gravitational lensing effects inspired by loop quantum gravity
• Black Hole Extremality in Nonlinear Electrodynamics: A Lesson for Weak Gravity and Festina Lente Bounds
• Rotating five-dimensional electrically charged Bardeen regular black holes
• Nonsingular black holes and spherically symmetric objects in nonlinear electrodynamics with a scalar field
• Quasinormal modes of the Bardeen black hole with a cloud of strings
• Source of black bounces in Rastall gravity
• Magnetically charged black-bounce solution via nonlinear electrodynamics in a k-essence theory
• Orbits around a black bounce spacetime
• Black-bounce solutions in a k-essence theory under the effects of bumblebee gravity
• Field Sources for $f(R,R_{\mu \nu })$ Black-Bounce Solutions: The Case of K-Gravity
• Symmetric black-to-white hole solutions with a cosmological constant
• A regular metric does not ensure the regularity of spacetime
• Gravitational and electromagnetic radiation from an electrically charged black hole in general nonlinear electrodynamics
• Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics
• Structure and thermodynamics of charged nonrotating black holes in higher dimensions
• Tidal Stretching and Compression in Black Bounce Backgrounds
• Regular black holes from pure gravity in four dimensions
• All $2D$ generalised dilaton theories from $d\ge 4$ gravities
• Dyonic regular black bounce solutions in General Relativity
• The generalized holographic $c$-function for regular AdS black holes
• Regular black hole solutions in $(2+1)$-dimensional $f(R,T)$ gravity coupled to nonlinear electrodynamics
• Modified Friedmann equations and non-singular cosmologies in $d=4$ non-polynomial quasi-topological gravities
• Is it possible to distinguish between different black hole solutions using the Shapiro time delay?
• Greybody factor for an electrically charged regular-de Sitter black holes in $d$-dimensions
• Gravitational memory effects of black bounces and a traversable wormhole
• Regular Black Holes in General Relativity from Nonlinear Electrodynamics with de Sitter Cores
• The irreducible mass of a regular rotating black hole
• Black holes and wormholes in Deser-Woodard gravity
• Vector Horndeski black holes in nonlinear electrodynamics
• Three dimensional black bounces in $f(R)$ gravity
• On the Stability of a Wormhole in the Maximally-Extended Reissner-Nordström Solution
• Horizons, throats and bounces in hybrid metric-Palatini gravity with a non-zero potential
• Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model
• Generalized black-bounces solutions in f(R) gravity and their field sources
• Bardeen-Kiselev black hole with cosmological constant
• Sources of matter for wormholes in a k-essence theory
• Field Sources for Generalized Ellis-Bronnikov Wormhole
• Embedding Wormholes and Dyonic Black Strings in Warped Braneworlds via Local Sum Rules
• LQG inspired spacetimes as solutions of the Einstein equations