Regular black holes in $f(R)$ gravity coupled to nonlinear electrodynamics

Abstract

We obtain a class of regular black hole solutions in four-dimensional $f(R)$ gravity, $R$ being the curvature scalar, coupled to a nonlinear electromagnetic source. The metric formalism is used and static spherically symmetric spacetimes are assumed. The resulting $f(R)$ and nonlinear electrodynamics functions are characterized by a one-parameter family of solutions which are generalizations of known regular black holes in general relativity coupled to nonlinear electrodynamics. The related regular black holes of general relativity are recovered when the free parameter vanishes, in which case one has $f(R)\propto R$. We analyze the regularity of the solutions and also show that there are particular solutions that violate only the strong energy condition

18 pages, 4 figures, accepted for publication in PRD

References in corpus (91)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• f(R) theories
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Dark Energy and the Accelerating Universe
• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Modified teleparallel gravity: inflation without inflaton
• The Bardeen Model as a Nonlinear Magnetic Monopole
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• The teleparallel equivalent of general relativity
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• f(T) Gravity and local Lorentz invariance
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• Regular electrically charged structures in Nonlinear Electrodynamics coupled to General Relativity
• Regular phantom black holes
• Regular black holes with a nonlinear electrodynamics source
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Reconstruction of some cosmological models in f(R,T) gravity
• Construction of cosmologically viable f(G) gravity models
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe
• Wormhole geometries in modified teleparralel gravity and the energy conditions
• $f(T,\mathcal{T})$ gravity and cosmology
• Energy conditions in f(R)-gravity
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Dynamics of scalar perturbations in f(R,T) gravity
• LambdaCDM epoch reconstruction from F(R,G) and modified Gauss-Bonnet gravities
• Black Holes in f(R) theories
• Phase-Space analysis of Teleparallel Dark Energy
• Growth factor in f(T) gravity
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Four Parametric Regular Black Hole Solution
• Generalized energy conditions in Extended Theories of Gravity
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Spherically symmetric space-time with the regular de Sitter center
• Conformal symmetry and accelerating cosmology in teleparallel gravity
• SL(2,R) Invariance of Non-Linear Electrodynamics Coupled to An Axion and a Dilaton
• Static Spherically Symmetric Solutions in F(R) Gravity
• Regular black holes: Electrically charged solutions, Reissner-Nordström outside a de Sitter core
• New Type of Regular Black Holes and Particlelike Solutions from Nonlinear Electrodynamics
• Anisotropic Universe Models in f(T) Gravity
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• Gravastars supported by nonlinear electrodynamics
• Kerr Black Holes are Not Unique to General Relativity
• The algebraic structure of a cosmological term in spherically symmetric solutions
• Wormholes and nonsingular space-times in Palatini $f(R)$ gravity
• Thermodynamics of charged black holes with a nonlinear electrodynamics source
• On a regular charged black hole with a nonlinear electric source
• Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics
• Equivalence of modified gravity equation to the Clausius relation
• Regular black holes and energy conditions
• Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources
• Energy Conditions and Cosmic Acceleration
• Nonsingular Black Holes in $f(R)$ Theories
• Stability of a vacuum nonsingular black hole
• Reissner-Nordström black holes in extended Palatini theories
• A Type of Levi-Civita's Solution in Modified Gauss-Bonnet Gravity
• Reconstruction and deceleration-acceleration transitions in modified gravity
• Exploring Cylindrical Solutions in Modified f(G) Gravity
• Observational Evidence of the Accelerated Expansion of the Universe
• Energy conditions in $F(T,\Theta )$ gravity and compatibility with a stable de Sitter solution
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• Energy Conditions and Supernovae Observations
• Phantom Black Holes and Sigma Models
• Extremal limit of the regular charged black holes in nonlinear electrodynamics
• On the non-attractive character of gravity in f(R) theories
• Universes inside a $\Lambda$ black hole
• Nonsingular black holes in quadratic Palatini gravity
• Lookback time bounds from energy conditions
• Solutions for f(R) gravity coupled with electromagnetic field
• Black hole solutions in f(R) gravity coupled with non-linear Yang-Mills field
• Matter Conditions for Regular Black Holes in $\mathbf{f}(\mathbf{T})$ Gravity
• Energy conditions constraints on a class of f(R)-gravity
• The Raychaudhuri equation in homogeneous cosmologies
• Energy distribution of 2+1 dimensional black holes with nonlinear electrodynamics
• Spherical Symmetric Solution in f(R) Model Around Charged Black Hole
• Regular homogeneous T-models with vacuum dark fluid
• Energy conditions bounds and their confrontation with supernovae data
• Reissner-Nordstrom Black Holes in the Inverse Electrodynamics Model
• Cosmological bounces in spatially flat FRW spacetimes in metric f(R) gravity
• Topological electro-vacuum solutions in extended gravity
• Generalized Teleparallel Theory

Cited by in corpus (52)

• Novel black-bounce spacetimes: wormholes, regularity, energy conditions, and causal structure
• Regular black holes with asymptotically Minkowski cores
• Bardeen Regular Black Hole With an Electric Source
• What is a singular black hole beyond General Relativity?
• Spherically symmetric black holes with electric and magnetic charge in extended gravity: Physical properties, causal structure, and stability analysis in Einstein's and Jordan's frames
• Source of black bounces in general relativity
• Regular black holes in $f(G)$ gravity
• Constraints on singularity resolution by nonlinear electrodynamics
• Thermodynamic topology of black Holes in f(R) gravity
• Testing the Schwarzschild metric in a strong field region with the Event Horizon Telescope
• Using Dominant and Weak Energy Conditions for build New Classes of Regular Black Holes
• Thin-shell traversable wormhole crafted from a regular black hole with asymptotically Minkowski core
• Nonsingular black holes in nonlinear gravity coupled to Euler-Heisenberg electrodynamics
• Regular black holes with sub-Planckian curvature
• Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow
• Regular multihorizon black holes in $f(G)$ gravity with nonlinear electrodynamics
• Bardeen solution with a cloud of strings
• Generalized models for black-bounce solutions in $f(R)$ Gravity
• Comment on "Generic rotating regular black holes in general relativity coupled to non-linear electrodynamics"
• Black Bounces with multiple throats and anti-throats
• Exploring Nonlinear Electrodynamics Theories: Shadows of Regular Black Holes and Horizonless Ultra-Compact Objects
• (Compactified) black branes in four dimensional f(R)-gravity
• Black holes and regular black holes in coincident $f(\mathbb{Q},{\mathbb{B}}_Q)$ gravity coupled to nonlinear electrodynamics
• Generalized Oppenheimer-Snyder Gravitational Collapse into Regular Black holes
• Analytic Electrically Charged Black Holes in $F(R)$-ModMax Theory
• Topological phantom AdS black holes in $F(R)$ gravity
• Two-dimensional Lifshitz-like AdS black holes in $F(R)$ gravity
• Source of black bounces in Rastall gravity
• Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity
• The covariant approach to static spacetimes in Einstein and extended gravity theories
• Spherically symmetric and static solutions in $f(R)$ gravity coupled with EM fields
• Thermodynamics and Quasinormal Modes of the Dymnikova Black Hole in Higher Dimensions
• A regular metric does not ensure the regularity of spacetime
• Quasinormal modes and ringdown waveform of the Frolov black hole
• Structure and thermodynamics of charged nonrotating black holes in higher dimensions
• Gravitational Collapse in Repulsive $R+{\mu }^4/R$ Gravity
• Stability of regular black holes and other compact objects with a charged de Sitter core and a surface matter layer
• Is it possible to distinguish between different black hole solutions using the Shapiro time delay?
• Exact charged black hole solutions in D-dimensions in f(R) gravity
• Exact Black Hole Solutions with a Conformally Coupled Scalar Field and Dynamic Ricci Curvature in $f(R)$ Gravity Theories
• Regular black holes and reductions of thermodynamic phase spaces
• Gravitational memory effects of black bounces and a traversable wormhole
• Horizons, throats and bounces in hybrid metric-Palatini gravity with a non-zero potential
• Black holes and wormholes in Deser-Woodard gravity
• Generalized black-bounces solutions in f(R) gravity and their field sources
• Gravitational waveforms from periodic orbits around a novel regular black hole
• Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model
• On a Class of Harko-Kovacs-Lobo Wormholes
• Bardeen-Kiselev black hole with cosmological constant
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity
• Thermodynamics, Phase Transitions, and Geodesic Structure of F(R)-Phantom Banados-Teitelboim-Zanelli (BTZ) Black Holes
• Remark on near-horizon geometry of extreme regular black holes