Regular magnetic black holes and monopoles from nonlinear electrodynamics

By K. Bronnikov. 2000

684 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3f9fb99d6436709a3d2fe027453c15a9223664e6

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Citations in the corpus

Introductory Notes on Non‐linear Electrodynamics and its Applications (2021, background): “Another example of a NED which gives rise to a regular magnetically charged black hole was considered in [8].”
Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope (2019, methodology): “the following expression: g e( ) = L U 4 (L UU+ L UW)F F + (L UW+ L WW)F F :(2.20) For certain non-linear electrodynamics models, such as those considered by Bardeen [77] and Bronnikov [120], only one relativistic invariant contributes. In this case, by neglecting W, Eq. (2.20) reduces to the fo”
Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources (2008, background): “A subsequent general analysis of these solutions was also performed [21] and it was rigorously proved that regular electrically charged structures are not compatible with the Maxwell weak-field limit at the center; regular magnetic solutions are also analyzed in [21], under very general terms, as a ”