Construction of Regular Black Holes in General Relativity

Abstract

We present a general procedure for constructing exact black hole solutions with electric or magnetic charges in General Relativity coupled to a nonlinear electrodynamics. We obtain a variety of two-parameter family spherically symmetric black hole solutions. In particular, the singularity at the central of the space-time can be cancelled in the parameters space and the black hole solutions become regular everywhere in the space-time. We study the global properties of the solutions and derive the first law of thermodynamics. We also generalize the procedure to include a cosmological constant and construct regular black hole solutions that are asymptotic to anti-de Sitter space-time.

arXiv comment18 pages,1 figure;minor corrections, references added,published version

References in corpus (23)

• Formation and evaporation of non-singular black holes
• Enthalpy and the Mechanics of AdS Black Holes
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• The Bardeen Model as a Nonlinear Magnetic Monopole
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• Rotating regular black holes
• Asymptotically Anti-de Sitter Space-times: Conserved Quantities
• Generating rotating regular black hole solutions without complexification
• Non-Singular Charged Black Hole Solution for Non-Linear Source
• Rotating Regular Black Hole Solution
• Four Parametric Regular Black Hole Solution
• Open and Closed Universes, Initial Singularities and Inflation
• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Regular rotating electrically charged black holes and solitons in nonlinear electrodynamics minimally coupled to gravity
• Radiating Kerr-like regular black hole
• How Many New Worlds Are Inside a Black Hole?
• Critical phenomena of regular black holes in anti-de Sitter space-time
• Regular black holes in $f(T)$ Gravity through a nonlinear electrodynamics source
• Magnetically charged regular black hole in a model of nonlinear electrodynamics
• First law and Smarr formula of black hole mechanics in nonlinear gauge theories
• About Black Holes Without Trapping Interior
• A Non-Singular Black Hole

Cited by in corpus (213)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• 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
• Novel black-bounce spacetimes: wormholes, regularity, energy conditions, and causal structure
• Regular black holes: A short topic review
• Shadow cast and deflection of light by charged rotating regular black holes
• Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics
• Gravitational decoupling for axially symmetric systems and rotating black holes
• Bardeen Regular Black Hole With an Electric Source
• Testing Rotating Regular Metrics as Candidates for Astrophysical Black Holes
• Testing Rotating Regular Metrics with EHT Results of Sgr A*
• Nonlinear electrodynamics, regular black holes and wormholes
• Electromagnetic perturbations of black holes in general relativity coupled to nonlinear electrodynamics
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• Critical phenomena of regular black holes in anti-de Sitter space-time
• Strong gravitational lensing by rotating Simpson--Visser black holes
• Geometric modeling of M87* as a Kerr black hole or a non-Kerr compact object
• Comment on "Construction of regular black holes in general relativity"
• Black hole thermodynamics in the presence of nonlinear electromagnetic fields
• Novel nonlinear electrodynamics black hole and related phenomena in the extended thermodynamics
• Relaxations of perturbations of spacetimes in general relativity coupled to nonlinear electrodynamics
• Comment on "Construction of regular black holes in general relativity"
• Phase transition of AdS black holes in 4D EGB gravity coupled to nonlinear electrodynamics
• Quest for realistic non-singular black-hole geometries: Regular-center type
• Imaging a non-singular rotating black hole at the center of the Galaxy
• Photon ring structure of rotating regular black holes and no-horizon spacetimes
• Quasinormal modes of charged black holes with corrections from nonlinear electrodynamics
• Electromagnetic perturbations of black holes in general relativity coupled to nonlinear electrodynamics: Polar perturbations
• Regular black holes in three dimensions
• Regular black holes in $f(G)$ gravity
• Testing strong gravitational lensing effects by supermassive compact objects with regular spacetimes
• Coincident f(Q) gravity: black holes, regular black holes and black bounces
• Bardeen Black Holes in the Regularized $4D$ Einstein--Gauss--Bonnet Gravity
• Constraints on singularity resolution by nonlinear electrodynamics
• Quasinormal modes and gray-body factors of regular black holes in asymptotically safe gravity
• Quasinormal modes-shadow correspondence for rotating regular black holes
• Non-polynomial Lagrangian approach to Regular Black Holes
• Magnetic black holes with generalized ModMax model of nonlinear electrodynamics
• First law and Smarr formula of black hole mechanics in nonlinear gauge theories
• $(2+1)$-dimensional regular black holes with nonlinear electrodynamics sources
• A note on singular and non-singular black holes
• Generalizations of the Smarr formula for black holes with nonlinear electromagnetic fields
• Particle motion around generic black holes coupled to non-linear electrodynamics
• Charged AdS black holes in Gauss-Bonnet gravity and nonlinear electrodynamics
• Primordial regular black holes as all the dark matter. II. Non-time-radial-symmetric and loop quantum gravity-inspired metrics
• Black Holes with Multiple Photon Spheres
• (Regular) Black holes in conformal Killing gravity coupled to nonlinear electrodynamics and scalar fields
• Dyonic configurations in nonlinear electrodynamics coupled to general relativity
• Primordial regular black holes as all the dark matter. I. Time-radial-symmetric metrics
• On the thermodynamics of the Hayward black hole
• Weak deflection angle by electrically and magnetically charged black holes from nonlinear electrodynamics
• Solution of Dirac equation and greybody radiation around a regular Bardeen black hole surrounded by quintessence
• Generalised Hayward spacetimes: Geometry, matter and scalar quasinormal modes
• From regular black holes to horizonless objects: quasi-normal modes, instabilities and spectroscopy
• Black Hole Remnants in Hayward Solutions and Noncommutative Effects
• Charged particle motion around non-singular black holes in conformal gravity in the presence of external magnetic field
• Cosmological coupling of nonsingular black holes
• A Smarr formula for charged black holes in nonlinear electrodynamics
• Regular multihorizon black holes in $f(G)$ gravity with nonlinear electrodynamics
• Physical Properties of a Regular Rotating Black Hole: Thermodynamics, Stability, Quasinormal Modes
• Rotating and non-linear magnetic-charged black hole surrounded by quintessence
• Quasinormal modes and shadows of a new family of Ayón-Beato-Garc\'ıa black holes
• On Einstein-non linear-Maxwell-Yukawa de-Sitter black hole thermodynamics
• Are nonsingular black holes with super-Planckian hair ruled out by S2 star data?
• Testing black holes in non-linear electrodynamics from the observed quasi-periodic oscillations
• Spinning black holes with a separable Hamilton-Jacobi equation from a modified Newman-Janis algorithm
• Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
• EHT observables as a tool to estimate parameters of supermassive black holes
• Trinity of black hole correspondences: Shadows, quasinormal modes, graybody factors, and cautionary remarks
• Repulsive Interactions in the Microstructure of Regular Hayward Black Hole in Anti-de Sitter Spacetime
• Black Bounces with multiple throats and anti-throats
• Instability of nonsingular black holes in nonlinear electrodynamics
• Can a light ray distinguish charge of a black hole in nonlinear electrodynamics?
• Comment on "Generic rotating regular black holes in general relativity coupled to non-linear electrodynamics"
• Investigating the gedanken experiment to destroy the event horizon of a regular black hole
• Inner-extremal regular black holes from pure gravity
• Five dimensional rotating regular black holes and shadow
• Exact black hole solutions with non-linear electrodynamic field
• Euclidean and Hamiltonian thermodynamics for regular black holes
• Black Holes With Many Horizons in the Theories of Nonlinear Electrodynamics
• Shadows and weak gravitational lensing by the black hole in Einstein-Maxwell-scalar theory
• Signatures of regular black holes from the shadow of Sgr A* and M87*
• Tidal forces in dirty black hole spacetimes
• Lifetime of scalar cloud formation around a rotating regular black hole
• Exploring Nonlinear Electrodynamics Theories: Shadows of Regular Black Holes and Horizonless Ultra-Compact Objects
• Light rings and causality for nonsingular ultracompact objects sourced by nonlinear electrodynamics
• Hayward black hole in scalar-Einstein-Gauss-Bonnet gravity in four dimensions
• Photon Orbits and Thermodynamic Phase Transition of Regular AdS Black Holes
• Quasi-local masses and cosmological coupling of black holes and mimickers
• Profiled spectral lines of Keplerian rings orbiting in the regular Bardeen black hole spacetimes
• Gravitational lensing of charged Ayon-Beato-Garcia black holes and non-linear effects of Maxwell fields
• Black hole and cosmos with multiple horizons and multiple singularities in vector-tensor theories
• Gravitational lensing of massive particles by a black-bounce-Schwarzschild black hole
• A note on nonlinear electrodynamics
• Regular multihorizon black holes in General Relativity
• Coexistent Physics and Microstructure of the Regular Bardeen Black Hole in Anti-de Sitter Spacetime
• New black-to-white hole solutions with improved geometry and energy conditions
• Spacetimes dressed with stealth electromagnetic fields
• Thermodynamic and Optical Behaviors of Quintessential Hayward-AdS Black Holes
• Nonlinear Magnetically Charged Black Holes with Phantom Global Monopoles: Thermodynamics, Geodesics, Quasinormal Modes, and Grey-Body Factors
• Mass parameter and the bounds on redshifts and blueshifts of photons emitted from geodesic particle orbiting in the vicinity of regular black holes
• The connection between regular black holes in nonlinear electrodynamics and semi-classical dust collapse
• Overcharging magnetized black holes at linear order and the weak cosmic censorship conjecture
• On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows
• Importance of being nonminimally coupled: Scalar Hawking radiation from regular black holes
• On the compatibility of Nonlinear Electrodynamics models with Robinson--Trautman geometry
• Optical Shadows of Rotating Bardeen AdS Black Holes
• Evaporation and information puzzle for 2D nonsingular asymptotically flat black holes
• Particle motions around regular black holes
• Quasinormal modes, Hawking radiation and absorption of the massless scalar field for Bardeen black hole surrounded by perfect fluid dark matter
• Weak Deflection angle of some classes of non-linear electrodynamics black holes via Gauss-Bonnet Theorem
• Thermodynamics for regular black holes as intermediate thermodynamic states and quasinormal frequencies
• Past extendibility and initial singularity in Friedmann-Lemaître-Robertson-Walker and Bianchi I spacetimes
• Lagrangian reverse engineering for regular black holes
• Novel regular black holes: geometry, source and shadow
• Null Geodesics and QNMs in the field of Regular Black Holes
• Holographic complexity of the electromagnetic black hole
• Thermodynamic Curvature and Topological Insights of Hayward Black Holes with String Fluids
• Matter Accretion onto a Conformal Gravity Black Hole
• Bounce corrections to gravitational lensing, quasinormal spectral stability and gray-body factors of Reissner-Nordström black holes
• Topological regular black holes without Cauchy horizon
• Thermodynamics of regular black holes with cosmic strings
• Radiation properties of the accretion disk around a black hole in Einstein-Maxwell-scalar theory
• Maximal volume behind horizons without curvature singularity
• Recovery of consistency in thermodynamics of regular black holes in Einstein's gravity coupled with nonlinear electrodynamics
• Acoustic regular black hole in fluid and its similarity and diversity to a conformally related black hole
• Scalar Hairy Black Holes in the presence of Nonlinear Electrodynamics
• Black Hole Extremality in Nonlinear Electrodynamics: A Lesson for Weak Gravity and Festina Lente Bounds
• A regular black hole as the final state of evolution of a singular black hole
• Phase structures and critical behaviour of rational non-linear electrodynamics AdS black holes in Rastall gravity
• Comment on "Linear superposition of regular black hole solutions of Einstein nonlinear electrodynamics"
• Nonsingular black holes and spherically symmetric objects in nonlinear electrodynamics with a scalar field
• Primordial regular black holes as all the dark matter. III. Covariant canonical quantum gravity models
• Singularities of regular black holes and the monodromy method for asymptotic quasinormal modes
• Signal of phase transition hidden in quasinormal modes of regular AdS black holes
• General class of "quantum deformed" regular black holes
• Neutrino pair annihilation above black-hole accretion disks in modified gravity
• Thermodynamic stability of a new three dimensional regular black hole
• Microstructure and continuous phase transition of a regular Hayward black hole in anti-de Sitter spacetime
• Collision of Two Rotating Hayward Black Holes
• A Komar-like integral for mass and angular momentum of asymptotically AdS black holes in Einstein gravity
• Symmetric black-to-white hole solutions with a cosmological constant
• Regular black holes with improved energy conditions and their analogues in fluids
• Fermion scattering by a class of Bardeen black holes
• Euclidean methods and phase transitions for the strongest deformations compatible with Schwarzschild asymptotics
• Can electromagnetic charge inhabit in Rastall gravity?
• Good tachyons, bad bradyons: role reversal in Einstein-nonlinear-electrodynamics models
• Nonsingular black holes from conformal symmetries
• Thermodynamic Phase Transition of Generalized Ayon-Beato Garcia Black Holes
• Regular Black Hole Models in the Transition from Baryonic Matter to Quark Matter
• New Black Hole Solutions of Second and First Order Formulations of Nonlinear Electrodynamics
• Image of Quantum Improved Regular Kerr Black Hole and Parameter Constraints from EHT Observations
• Non-linear Electrodynamics in Blandford-Znajeck Energy Extraction
• How Much NEC Breaking Can the Universe Endure?
• Conundrum of regular black holes with nonlinear electromagnetic fields
• Geodesic structure of a rotating regular black hole
• Modified plasma waves described by a logarithmic electrodynamics
• Charged superradiant instability in a spherical regular black hole
• All $2D$ generalised dilaton theories from $d\ge 4$ gravities
• Implications of the singularity theorem for the size of a nonsingular universe
• Dyonic regular black bounce solutions in General Relativity
• Non-Topological Soliton Bardeen Boson Stars and Their Frozen States
• A new nonlinear electrodynamics and electrically charged regular black holes
• Topology of black hole thermodynamics: A brief review
• Signatures of regular black holes from the quasar continuum spectrum
• Kerr/CFT correspondence in a 4D extremal rotating regular black hole with a non-linear magnetic monopole
• Black holes in $f(R)$ gravity coupled to nonlinear electromagnetic fields
• Weighing the curvature invariants
• Could regular primordial black holes be dark matter?
• Modified Friedmann equations and non-singular cosmologies in $d=4$ non-polynomial quasi-topological gravities
• Regular hairy black holes through gravitational decoupling method
• Dynamics and kinetics of phase transition for regular AdS black holes in general relativity coupled to non-linear electrodynamics
• Preliminary analyses on dynamics and thermodynamics of rotating regular black holes
• Constraints on the Scale Parameter of Regular Black Hole in Asymptotically Safe Gravity from Extreme Mass Ratio Inspirals
• Regular Black Holes: Entropy Products and Central Charges
• Black hole solutions in Cotton gravity coupled to nonlinear electrodynamics
• Regular Black Hole Cores via Gravitational Evanescence of Collapsing Matter
• Regular black holes and reductions of thermodynamic phase spaces
• $P-V$ criticality and Joule-Thomson Expansion of Hayward-AdS black holes in 4D Einstein-Gauss-Bonnet gravity
• Exact plane symmetric black bounce with a perfect-fluid exterior obeying a linear equation of state
• Overcharging a nonsingular black hole in general relativity: the nonlinear electrodynamic field effects
• Sufficient conditions for unbounded superradiance in black hole spacetimes sourced by nonlinear electrodynamics
• Singularity and differentiability at the origin of static and spherically symmetric black holes
• Aspects of a novel nonlinear electrodynamics in flat spacetime and in a gravity-coupled scenario
• Spin dynamics of moving bodies in rotating black hole spacetimes
• Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model
• Horizon-Brightened Acceleration Radiation and Optical Signatures of Generic Regular Black Holes from Nonlinear Electrodynamics
• Vector Horndeski black holes in nonlinear electrodynamics
• Thermodynamically massless Simpson-Visser black holes
• Perturbations of Einstein--Maxwell--phantom spacetime: Instabilities of charged Ellis--Bronnikov wormholes and quasinormal modes of black holes
• Regular Black Holes in General Relativity from Nonlinear Electrodynamics with de Sitter Cores
• Testing generalized spacetimes for black holes using the Hod function representation of the hoop conjecture
• Horizons, throats and bounces in hybrid metric-Palatini gravity with a non-zero potential
• Effect of nonlinear electrodynamics on polarization distribution around black hole
• Emergent GUP from Modified Hawking Radiation in Einstein-NED Theory
• A no-go theorem for regular black holes
• Compact regular objects from an electrified Tolman-like density: A new interior region for the Kerr-Newman spacetime
• A model of regular black hole satisfying the Weak Energy Condition
• Bardeen-Kiselev black hole with cosmological constant
• How to obtain slow roll inflation driven by non-linear electrodynamics
• GEMS embeddings of Hayward regular black holes in massless and massive gravities
• Charged Superradiant Instability of Spherically Symmetric Regular Black Holes in de Sitter Spacetime: Time- and Frequency-Domain Analysis
• Redshift Spectroscopy as a Probe of Regular Black Holes, Black Bounces, and Scalar-Hair Compact Objects
• Superradiant scattering of massive scalar field due to magnetically charged rotating black hole
• Connections between entropy surface density and microscopic property in black holes
• Memory burden effect of regular primordial black holes
• Thermodynamics and orbital structure of anti-de Sitter black holes in Palatini-inspired nonlinear electrodynamics
• Light Rings, Accretion Disks and Shadows of Hayward Boson Stars
• Light curves of the hot spots on circular orbits around generic regular black holes related to non-linear electrodynamics with Maxwellian weak-field Limit
• Internal structure of Hayward black holes
• Strong field gravitational lensing of particles by a black-bounce-Schwarzschild black hole
• Remark on near-horizon geometry of extreme regular black holes
• The eye of the storm: A regular Kerr black hole