Analytic nondegenerate shift-symmetric Horndeski theories admit no static spherical regular black holes with a time-independent scalar; the unique marginal nonanalytic completion is sGB, whose hairy solutions remain centrally singular.
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Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
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abstract
It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian $L(F)$, $F = F_mn F^mn$ 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.
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Infinite-derivative completions of quasitopological gravities are ghost-free, avoid strong coupling, and admit exact spherically symmetric vacuum regular black holes obeying a perturbative Birkhoff theorem.
In the rotating García-Díaz NLED black hole the Fresnel quartic factorizes into two optical metrics whose critical families project to distinct contours Γ+ and Γ- whose angular separation is generated by the constitutive response and redistributed by spin.
Derives Smarr formula from generalized Komar charge in 4D Einstein-NLED theories by treating coupling constant as dynamical field, and analyzes thermodynamics of regular Bardeen black hole.
All integrable 2D Horndeski theories (and thus many regular black-hole metrics) arise as spherical reductions of pure d≥4 gravities, which the paper terms quasi-topological.
ABG-dS black holes show charged superradiant instability exclusively for the spherically symmetric ℓ=0 mode, with growth rates that peak at intermediate Λ and q and rise with Q, differing from RN-dS due to nonlinear electrodynamics.
Causal nonlinear electrodynamics forces a singular center and at most three phases for RN-asymptotic black holes, with monotonicity proofs showing reduced mass and entropy for extreme dyonic cases.
Monopole bags in axionic backgrounds gravitationally collapse into horizonless states or dyonic regular black holes that evade singularities while retaining axionic hair.
For cylindrical black strings, NED Lagrangians with a Maxwell weak-field limit cannot produce regular purely electric or dyonic cores; regular magnetic Bardeen/Hayward analogues exist but violate causality near the axis.
Regular black holes with scalar hair exhibit anomalous decay rates for massive scalar perturbations, with longest-lived modes switching to lower angular momentum above a critical mass.
Derives perturbative noncommutative corrections to the metric tensor and gauge potential for static spherically symmetric dyonic black holes in several nonlinear electrodynamics theories.
A unified framework links the generating function for static black holes satisfying g_tt g_rr=-1 in extended quasi-topological gravity to thermodynamic mass and Wald entropy via an effective 2D dilaton theory.
For dyonic nonlinear electrodynamics with equal charges, the electromagnetic invariant f vanishes identically, enabling simple gravitating solutions in GR and extended gravity theories.
Two new regular black-hole solutions with de Sitter cores, supported by magnetic nonlinear electrodynamics, are constrained by Sgr A* shadows and shown to be linearly stable under scalar perturbations.
A rotating regular black hole leaves a remnant because the correction term in the generalized entropy of Hawking radiation vanishes at a finite mass above the extremal limit.
Regular black hole metrics are constructed from anisotropic fluids with P=P(ρ) equations of state, yielding known and new solutions while revealing sound-speed sign changes and a universal hierarchy in energy-condition violation locations.
Constructs Lorentz-violating regular black holes in Einstein gravity using a minimally coupled nonlinear electrodynamics dark sector that enforces regular cores and conical Lorentz-violating asymptotics.
Derives spin-dependent bounds on NED deformation g/M from Sgr A* shadow, eikonal QNMs, and Comisso-Asenjo reconnection power in rotating geometries.
Dark matter halo profiles admit effective nonlinear electrodynamics completions that source regular black holes exhibiting de Sitter cores for finite central density and Schwarzschild asymptotics.
Combining regular black hole metrics with memory burden suppresses evaporation and opens a 10^6-10^8 g PBH mass window that can comprise all dark matter.
NLED alters photon propagation near magnetars, producing ~10% errors in inferred radii via ray-tracing and a minimal ~350 ns travel-time delay.
Bumblebee gravity coupled to NLED yields charged black hole solutions that become regular and horizonless when mass and charge are tuned to specific functions of the couplings.
Analytic charged black holes in nonlinear electrodynamics with non-monotonic lapse functions support stable light rings and additional longer-lived quasinormal modes compared to Einstein gravity.
Massive scalar quasinormal modes in quasi-topological black holes become long-lived as scalar mass grows, while photon-sphere radius, shadow size, and ISCO exhibit moderate deviations from Schwarzschild.
citing papers explorer
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Static regular black holes in Horndeski theories: analytic no-go and nonanalytic obstructions
Analytic nondegenerate shift-symmetric Horndeski theories admit no static spherical regular black holes with a time-independent scalar; the unique marginal nonanalytic completion is sGB, whose hairy solutions remain centrally singular.
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Regular Black Holes in Nonlocal Quasitopological Gravity
Infinite-derivative completions of quasitopological gravities are ghost-free, avoid strong coupling, and admit exact spherically symmetric vacuum regular black holes obeying a perturbative Birkhoff theorem.
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Constitutive birefringence and critical curves in the rotating Garc\'ia--D\'iaz black hole
In the rotating García-Díaz NLED black hole the Fresnel quartic factorizes into two optical metrics whose critical families project to distinct contours Γ+ and Γ- whose angular separation is generated by the constitutive response and redistributed by spin.
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Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes
Derives Smarr formula from generalized Komar charge in 4D Einstein-NLED theories by treating coupling constant as dynamical field, and analyzes thermodynamics of regular Bardeen black hole.
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All $2D$ generalised dilaton theories from $d\geq 4$ gravities
All integrable 2D Horndeski theories (and thus many regular black-hole metrics) arise as spherical reductions of pure d≥4 gravities, which the paper terms quasi-topological.
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Charged Superradiant Instability of Spherically Symmetric Regular Black Holes in de Sitter Spacetime: Time- and Frequency-Domain Analysis
ABG-dS black holes show charged superradiant instability exclusively for the spherically symmetric ℓ=0 mode, with growth rates that peak at intermediate Λ and q and rise with Q, differing from RN-dS due to nonlinear electrodynamics.
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Black holes and causal nonlinear electrodynamics
Causal nonlinear electrodynamics forces a singular center and at most three phases for RN-asymptotic black holes, with monotonicity proofs showing reduced mass and entropy for extreme dyonic cases.
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Gravitational Properties of the Monopole Bag
Monopole bags in axionic backgrounds gravitationally collapse into horizonless states or dyonic regular black holes that evade singularities while retaining axionic hair.
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On regular black string spacetimes in nonlinear electrodynamics
For cylindrical black strings, NED Lagrangians with a Maxwell weak-field limit cannot produce regular purely electric or dyonic cores; regular magnetic Bardeen/Hayward analogues exist but violate causality near the axis.
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Anomalous Decay Rate and Greybody Factors for Regular Black Holes with Scalar Hair
Regular black holes with scalar hair exhibit anomalous decay rates for massive scalar perturbations, with longest-lived modes switching to lower angular momentum above a critical mass.
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Noncommutative dyonic black holes sourced by nonlinear electromagnetic fields
Derives perturbative noncommutative corrections to the metric tensor and gauge potential for static spherically symmetric dyonic black holes in several nonlinear electrodynamics theories.
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$g_{tt}g_{rr} =-1$ black hole thermodynamics in extended quasi-topological gravity
A unified framework links the generating function for static black holes satisfying g_tt g_rr=-1 in extended quasi-topological gravity to thermodynamic mass and Wald entropy via an effective 2D dilaton theory.
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On gravitating dyonic configurations in nonlinear electrodynamics
For dyonic nonlinear electrodynamics with equal charges, the electromagnetic invariant f vanishes identically, enabling simple gravitating solutions in GR and extended gravity theories.
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Regular Black Holes in General Relativity from Nonlinear Electrodynamics with de Sitter Cores
Two new regular black-hole solutions with de Sitter cores, supported by magnetic nonlinear electrodynamics, are constrained by Sgr A* shadows and shown to be linearly stable under scalar perturbations.
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The Remnant of an Evaporating Rotating Regular Black Hole from the Generalized Entropy in the Final Stage of Evaporation
A rotating regular black hole leaves a remnant because the correction term in the generalized entropy of Hawking radiation vanishes at a finite mass above the extremal limit.
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Regular Black Holes from Anisotropic Source with Hydrodynamic Equation of State
Regular black hole metrics are constructed from anisotropic fluids with P=P(ρ) equations of state, yielding known and new solutions while revealing sound-speed sign changes and a universal hierarchy in energy-condition violation locations.
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Lorentz-Violating (Regular) Black Holes in Einstein Gravity
Constructs Lorentz-violating regular black holes in Einstein gravity using a minimally coupled nonlinear electrodynamics dark sector that enforces regular cores and conical Lorentz-violating asymptotics.
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Energy extraction from NED-deformed rotating black holes via the Comisso-Asenjo reconnection process
Derives spin-dependent bounds on NED deformation g/M from Sgr A* shadow, eikonal QNMs, and Comisso-Asenjo reconnection power in rotating geometries.
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Field Sources for Dark Matter Black Holes
Dark matter halo profiles admit effective nonlinear electrodynamics completions that source regular black holes exhibiting de Sitter cores for finite central density and Schwarzschild asymptotics.
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Memory burden effect of regular primordial black holes
Combining regular black hole metrics with memory burden suppresses evaporation and opens a 10^6-10^8 g PBH mass window that can comprise all dark matter.
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Nonlinear electrodynamics in magnetars: systematic effects on radius constraints and timing analysis
NLED alters photon propagation near magnetars, producing ~10% errors in inferred radii via ray-tracing and a minimal ~350 ns travel-time delay.
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When Bumblebee Meets NLED: Lorentz-Violating Black Holes and Regular Spacetimes
Bumblebee gravity coupled to NLED yields charged black hole solutions that become regular and horizonless when mass and charge are tuned to specific functions of the couplings.
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Properties of black holes in non-linear electrodynamics
Analytic charged black holes in nonlinear electrodynamics with non-monotonic lapse functions support stable light rings and additional longer-lived quasinormal modes compared to Einstein gravity.
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Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity
Massive scalar quasinormal modes in quasi-topological black holes become long-lived as scalar mass grows, while photon-sphere radius, shadow size, and ISCO exhibit moderate deviations from Schwarzschild.
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Three dimensional black bounces in $f(R)$ gravity
Black bounce geometries exist in 2+1D f(R) gravity with scalar-nonlinear electrodynamics matter, including vanishing scalar curvature solutions whose viability is checked via scalaron mass and energy conditions.
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Roche limit and stellar disruption in the Simpson--Visser spacetime
Tidal forces in the Simpson-Visser spacetime produce Roche radii for stars that depend on observer type and regularization, with some disruptions occurring outside the event horizon for supermassive black holes.
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Observational Tests of Regular Black Holes with Scalar Hair and their Stability
Regular black holes with phantom scalar hair are constrained by Solar System and EHT observations, with exact relations linking photon sphere Lyapunov exponent to shadow size and impact parameter.
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Finite Curvature Construction of Regular Black Holes and Quasinormal Mode Analysis
Regular black holes are constructed by prescribing finite curvature invariants with analytic profiles, yielding singularity-free geometries whose quasinormal mode stability depends on the effective potential's peak-to-valley ratio.
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Eikonal, nonlocality and regular black holes
Nonlocal form factors in D-dimensional gravity yield effective geometries whose nonlinear completion gives regular, asymptotically flat Schwarzschild deformations with de Sitter cores.
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Quasibound states of a charged Dirac field around regular black holes
Charged massive Dirac quasibound modes on ABG black holes stay damped; ABG and RN share hydrogenic real frequencies, but ABG’s inner barrier can make some modes much longer-lived.
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Joule-Thomson Effect and Geodesic Structure of Charged AdS Black Holes in f(R,T) Coupled with Nonlinear Electrodynamics
Charge most strongly controls JT inversion and cooling domains of the f(R,T)-NLED AdS black hole; NLED and modified-gravity parameters supply only sub-leading corrections that leave exterior geodesics close to RN-AdS.
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Regular black hole solutions and the quark chemical potential at the QCD phase transition
Within two QCD-inspired equations of state coupled to Eddington-Finkelstein collapse, finite chemical potential reshapes thermodynamics but does not produce self-regularizing black hole cores.
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Regular hairy black holes by gravitational decoupling: Bardeen and Minkowski-core seeds
Two families of regular hairy black holes are built from Bardeen and hollow seeds by gravitational decoupling with exponential deformation, including critical deformation strengths and Kerr-like rotating extensions.
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Regular hairy black holes through gravitational decoupling method
Regular hairy black holes are built via gravitational decoupling by deforming Minkowski vacuum under weak energy condition and well-defined horizon constraints, recovering standard black hole metrics as limits.
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Scalar-Electromagnetic Couplings as Source of Deformed Black Hole: From Shadows to Thermodynamic Topology
A scalar-NED coupled black hole metric is reconstructed from an effective geometry, yielding EHT bounds on magnetic charge, Hawking-Page transition, and topological equivalence to the Reissner-Nordström solution.
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Photon Propagation and Black Hole Imaging in Kruglov Nonlinear Electrodynamics
In Kruglov NED, small positive q can create stable photon orbits and reshape black-hole shadows and accretion images even when the metric stays close to Reissner–Nordström.
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Thermodynamics and orbital structure of anti-de Sitter black holes in Palatini-inspired nonlinear electrodynamics
An exact AdS extension of the PINLED black hole is derived from the Einstein-Hilbert action plus nonlinear EM sector, preserving the original parametric form while adding the standard AdS lapse term, followed by full thermodynamic and geodesic analysis.
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Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
Charged AdS black holes in dRGT massive gravity with exponential NED exhibit van der Waals-like first-order, second-order critical, and reentrant phase transitions between small and large black holes at fixed Lambda.
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Time Like Geodesics of Regular Black Holes with Scalar Hair
Timelike geodesics around asymptotically flat regular black holes with phantom scalar hair show shifted circular orbits, ISCO locations, and perihelion precession corrections proportional to the scalar charge A that can be constrained by Solar System observations.