Regular Black Holes in General Relativity from Nonlinear Electrodynamics with de Sitter Cores
arXiv:2604.20066 · doi:10.1016/j.dark.2026.102396
Abstract
We present new regular black hole solutions in general relativity (GR) within a static, spherically symmetric framework governed by a variable equation of state, following the approach of [Class. Quant. Grav. 42, 025024 (2025)]. The matter supporting these geometries is identified as a purely magnetic monopole configuration of the Maxwell-Faraday tensor in the context of nonlinear electrodynamics (NLED). We explicitly reconstruct the corresponding NLED Lagrangian and analyze the asymptotic and central behaviors of the solutions. The geometric structure is examined through the metric functions, the regularity of the Kretschmann scalar, and the profiles of energy density and pressures, including a discussion of the resulting energy conditions. Using Event Horizon Telescope observations of Sgr A, we constrain the model parameters by comparing the predicted size of the central dark region with the inferred observational images, taking into account the effective geometry experienced by photons in the presence of NLED. Finally, we investigate the dynamical stability of these configurations under scalar perturbations by computing the quasinormal mode spectrum and performing a time-domain analysis.
29 pages in double column, 23 figures and 10 tables -- version accepted for publication in Physics of the Dark Universe
References in corpus (49)
- Multi-messenger Observations of a Binary Neutron Star Merger
- Quasinormal modes of black holes: from astrophysics to string theory
- Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A
- Relativistic redshift of the star S0-2 orbiting the Galactic center supermassive black hole
- Construction of Regular Black Holes in General Relativity
- Regular electrically charged structures in Nonlinear Electrodynamics coupled to General Relativity
- Regular black holes with a nonlinear electrodynamics source
- Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
- A non-linear duality-invariant conformal extension of Maxwell's equations
- The 1965 Penrose singularity theorem
- Regular black hole metrics and the weak energy condition
- Novel black-bounce spacetimes: wormholes, regularity, energy conditions, and causal structure
- New Type of Regular Black Holes and Particlelike Solutions from Nonlinear Electrodynamics
- On a regular charged black hole with a nonlinear electric source
- A model of nonlinear electrodynamics
- Bardeen Regular Black Hole With an Electric Source
- Connection Between the Shadow Radius and Quasinormal Modes in Rotating Spacetimes
- A massive charged scalar field in the Kerr-Newman background I: quasinormal modes, late-time tails and stability
- Smarr's formula for black holes with non-linear electrodynamics
- Quasinormal modes, scattering and Hawking radiation of Kerr-Newman black holes in a magnetic field
- A new general relativistic contribution to Mercury's perihelion advance
- Correspondence between grey-body factors and quasinormal modes
- Nonlinear -electrodynamics and asymptotic Reissner-Nordström black holes
- Black hole as a magnetic monopole within exponential nonlinear electrodynamics
- Decay of a charged scalar and Dirac fields in the Kerr-Newman-de Sitter background
- Nonlinear arcsin-electrodynamics
- Correspondence between grey-body factors and quasinormal frequencies for rotating black holes
- Asymptotic Reissner-Nordström solution within nonlinear electrodynamics
- Magnetically charged regular black hole in a model of nonlinear electrodynamics
- Late time decay of scalar and Dirac fields around an asymptotically de Sitter black hole in the Euler-Heisenberg electrodynamics
- The 1919 measurement of the deflection of light
- Quasinormal modes and greybody factor of a Lorentz-violating black hole
- Regular hairy black holes through Minkowski deformation
- Quasinormal Modes and Bounding Greybody Factors of GUP-corrected Black Holes in Kalb-Ramond Gravity
- How does non-metricity affect particle creation and evaporation in bumblebee gravity?
- On Generalized Logarithmic Electrodynamics
- On causality in nonlinear vacuum electrodynamics of the Plebański class
- Entropy of an extremal regular black hole
- Particle creation and evaporation in Kalb-Ramond gravity
- Can a light ray distinguish charge of a black hole in nonlinear electrodynamics?
- Instability of nonsingular black holes in nonlinear electrodynamics
- Long-lived quasinormal modes, grey-body factors and absorption cross-section of the black hole immersed in the Hernquist galactic halo
- Quasinormal modes, temperatures and greybody factors of black holes in a generalized Rastall gravity theory
- Non-commutativity in Hayward spacetime
- Remarks on a nonlinear electromagnetic extension in AdS Reissner-Nordström spacetime
- Nonsingular black holes and spherically symmetric objects in nonlinear electrodynamics with a scalar field
- Analysis of a nonlinear electromagnetic generalization of the Reissner-Nordström black hole
- A regular metric does not ensure the regularity of spacetime
- Partial Orderings of Curvature Invariants