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Nonlinear electrodynamics, regular black holes and wormholes

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arxiv 1711.00087 v1 pith:QGFBF45U submitted 2017-10-31 gr-qc

K. A. Bronnikov This is my paper
classification gr-qc
keywords onlysolutionswormholesblackdependingdyonicfoundfunction
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abstract

We consider spherically symmetric configurations in general relativity, supported by nonlinear electromagnetic fields with gauge-invariant Lagrangians depending on the single invariant $f = F_{\mu\nu} F^{\mu\nu}$. Static black hole and solitonic solutions are briefly described, both with only an electric or magnetic charge and with both nonzero charges (the dyonic ones). It is stressed that only pure magnetic solutions can be completely nonsingular. For dyonic systems, apart from a general scheme of obtaining solutions in quadratures for an arbitrary Lagrangian function $L(f)$, an analytic solution is found for the truncated Born-Infeld theory (depending on the invariant $f$ only). Furthermore, considering spherically symmetric metrics with two independent functions of time, we find a natural generalization of the class of wormholes found previously by Arellano and Lobo with a time-dependent conformal factor. Such wormholes are shown to be only possible for some particular choices of the function $L(f)$, having no Maxwell weak-field limit.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Photon Propagation and Black Hole Imaging in Kruglov Nonlinear Electrodynamics

    gr-qc 2026-04 unverdicted novelty 5.0 of 10

    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...

  2. Chaotic imprints of dark matter in extreme mass-ratio inspirals

    gr-qc 2026-02 reject novelty 4.0 of 10

    A toy model shows that adding a hand-made angle-dependent force to dark-matter spacetimes produces visual chaos and irregular numerical-Kludge waveforms, but the force is not a realistic dark-matter perturbation.

  3. Energy Extraction and Evolution of Regular Black Holes: The Case of Bardeen Spacetime

    gr-qc 2025-08 reject novelty 4.0 of 10

    A Bardeen regular black hole could evolve into a singular black hole if a charged Penrose process drains its magnetic charge.

  4. Hayward Boson Stars

    gr-qc 2025-08 conditional novelty 4.0 of 10

    Hayward boson stars exist only when sqrt(beta)/Q > 1.49661, exactly where the vacuum Hayward spacetime has no horizon.

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