The Bardeen Model as a Nonlinear Magnetic Monopole
read the original abstract
The Bardeen model -- the first regular black hole model in General Relativity -- is reinterpreted as the gravitational field of a nonlinear magnetic monopole, i.e., as a magnetic solution to Einstein equations coupled to a nonlinear electrodynamics.
This paper has not been read by Pith yet.
Forward citations
Cited by 31 Pith papers
-
Families of regular spacetimes and energy conditions
A classification of admissible energy density profiles with bounded Kretschmann scalar produces families of regular static spherically symmetric spacetimes in GR, including new closed-form solutions involving hypergeo...
-
Families of regular spacetimes and energy conditions
A classification of admissible energy density profiles with bounded Kretschmann scalar yields a unified framework for regular static spherically symmetric spacetimes satisfying the weak energy condition, recovering kn...
-
Black Hole Interiors as a Laboratory for Time-Dependent Classical Double Copy
Trapped black hole interiors admit exact time-dependent classical double copy via Kantowski-Sachs patches from static Kerr-Schild data, characterized by p_parallel = -ρ, with finite single-copy fields in regular solut...
-
Strong-deflection expansion of the deflection angle near a degenerate photon sphere
Derives a factorized leading term for the strong deflection angle near degenerate photon spheres using local expansion of the effective potential and Weyl tensor measures.
-
All $2D$ generalised dilaton theories from $d\geq 4$ gravities
Generic 2D Horndeski theories arise from dimensional reduction of d≥4 gravities, yielding a Birkhoff theorem for quasi-topological gravities where static spherically symmetric solutions satisfy g_tt g_rr = -1 and are ...
-
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 e...
-
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.
-
$g_{tt}g_{rr} =-1$ 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.
-
Universality of merons in non-Abelian gauge theories
Merons are universal in many non-Abelian gauge theories and source regular black holes and Euclidean wormholes via a non-Abelian Ayón-Beato-García generalization.
-
Tidal Love numbers for regular black holes
Tidal Love numbers of regular black holes are generically nonzero, model-dependent, and can acquire logarithmic scale dependence at higher perturbative orders.
-
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.
-
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.
-
Regular black hole with sub-Planckian curvature and suppressed exponential mass inflation
A regular black hole metric is constructed with sub-Planckian curvature controlled by the inner horizon radius and power-law rather than exponential mass inflation near the inner horizon.
-
Gravitational Properties of the Monopole Bag
Monopole bags in axion models can collapse into horizonless objects or dyonic regular black holes that evade singularities and retain axionic structure through Chern-Simons effects.
-
Effective null geodesics and black hole images in Kruglov nonlinear electrodynamics
In Kruglov nonlinear electrodynamics, small positive values of the parameter q produce stable photon orbits outside the event horizon and modify black hole shadows and relativistic images even when the spacetime metri...
-
Effective null geodesics and black hole images in Kruglov nonlinear electrodynamics
In Kruglov's Born-Infeld-type nonlinear electrodynamics, the effective photon geometry around a charged black hole produces q-dependent shifts in light deflection, shadow radius, and accretion disk images, including s...
-
Regular Black Holes in General Relativity from Nonlinear Electrodynamics with de Sitter Cores
New regular black hole metrics in GR arise from a magnetic monopole NLED configuration with de Sitter cores, are fitted to Sgr A* shadow size, and remain stable under scalar perturbations.
-
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.
-
Equatorial periodic orbits and gravitational wave signatures in Euler-Heisenberg black holes surrounded by perfect fluid dark matter
Periodic orbits in Euler-Heisenberg black holes surrounded by perfect fluid dark matter produce burst-like gravitational wave signals whose amplitude and frequency content are modified by both dark matter density and ...
-
Ringdown waves from hairy black holes
Derives perturbative formulas for quasinormal-mode frequency shifts in hairy black holes expressed directly in terms of anisotropic-fluid equation-of-state parameters via the eikonal correspondence.
-
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.
-
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.
-
Regular black holes with gravitational self-energy as dark matter
Incorporating non-local gravitational self-energy from a T-duality-inspired model yields a regular neutral black-hole metric with extremal Planck-mass particle-black-hole solutions that are thermodynamically stable an...
-
Light Rings, Accretion Disks and Shadows of Hayward Boson Stars
Numerical construction of Hayward boson stars shows that frozen states produce Schwarzschild-like shadows with no extra photon rings while non-frozen states show multiple photon rings inside the shadow.
-
Finite Curvature Construction of Regular Black Holes and Quasinormal Mode Analysis
Regular black holes are built by prescribing finite Ricci or Weyl scalars with Gaussian, sech, and rational profiles to ensure regularity and energy conditions, with stability shown to depend on the peak-to-valley rat...
-
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...
-
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 ...
-
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.
-
Topological Thermodynamics of Generalized Bardeen Black Hole
Topological classification via winding numbers of a vector field from generalized off-shell free energy shows regular Bardeen black holes have two opposite defects and zero total charge while Schwarzschild has one uns...
-
Testing black hole metrics with binary black hole inspirals
Constraints on deviations from Kerr black hole metrics are derived from binary black hole inspiral waveforms modeled with effective one-body methods and analyzed via the parameterized post-Einsteinian framework.
-
Topology of black hole thermodynamics: A brief review
Topological numbers categorize black hole systems into universality classes based on thermodynamic behavior, with calculations for critical points and phase transitions.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.