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Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics

Canonical reference. 85% of citing Pith papers cite this work as background.

33 Pith papers citing it
Background 85% of classified citations
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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2026 29 2025 4

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Black holes and causal nonlinear electrodynamics

hep-th · 2026-01-12 · accept · novelty 7.0

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.

Gravitational Properties of the Monopole Bag

hep-ph · 2026-04-29 · unverdicted · novelty 6.0 · 2 refs

Monopole bags in axionic backgrounds gravitationally collapse into horizonless states or dyonic regular black holes that evade singularities while retaining axionic hair.

Lorentz-Violating (Regular) Black Holes in Einstein Gravity

gr-qc · 2026-05-26 · unverdicted · novelty 5.0

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.

Field Sources for Dark Matter Black Holes

gr-qc · 2026-05-24 · unverdicted · novelty 5.0

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.

Properties of black holes in non-linear electrodynamics

hep-th · 2026-04-15 · unverdicted · novelty 5.0 · 2 refs

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.

Three dimensional black bounces in $f(R)$ gravity

gr-qc · 2026-01-25 · conditional · novelty 5.0

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.

Eikonal, nonlocality and regular black holes

hep-th · 2026-04-20 · unverdicted · novelty 5.0

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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