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Regular Magnetic Black Holes and Monopoles from Nonlin- ear Electrodynamics

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

26 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 22 2025 4

representative citing papers

All $2D$ generalised dilaton theories from $d\geq 4$ gravities

hep-th · 2026-03-06 · conditional · novelty 7.0

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 determined algebraically.

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.

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.

Regular hairy black holes through gravitational decoupling method

gr-qc · 2025-10-23 · unverdicted · novelty 4.0

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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