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Electromagnetized black holes and swirling backgrounds in nonlinear electrodynamics: The ModMax case

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arxiv 2409.12336 v2 pith:MPEPZBAU submitted 2024-09-18 gr-qc hep-th

José Barrientos , Adolfo Cisterna , Mokhtar Hassaine , Konstantinos Pallikaris This is my paper · ORCID
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keywords blackholesmelvin-bonnormodmaxspacetimeelectromagneticconstructingnonlinear
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This work focuses on constructing electromagnetized black holes and vortex-like backgrounds within the framework of the ModMax theory--the unique nonlinear extension of Maxwell's theory that preserves conformal symmetry and electromagnetic duality invariance. We begin by constructing the Melvin-Bonnor electromagnetic universe in ModMax through a limiting procedure that connects the spacetime of two charged accelerating black holes with that of a gravitating homogeneous electromagnetic field. Building on this result, we proceed to construct the Schwarzschild and C-metric Melvin-Bonnor black holes within the ModMax theory, representing the first black hole solutions embedded in an electromagnetic universe in the context of nonlinear electrodynamics. While the characteristics of the Melvin-Bonnor spacetime and some of its black hole extensions have been widely examined, we demonstrate for the first time that the Schwarzschild-Melvin-Bonnor configuration exhibits an unusual Kerr-Schild representation. Following this direction, we also unveil a novel Kerr-Schild construction for the spacetime of two accelerating black holes, drawing on the intrinsic relationship between the Melvin-Bonnor spacetime and the C-metric. Finally, we expand the spectrum of exact gravitational solutions within Einstein-ModMax theory by constructing a vortex-like background that coexists with the Melvin-Bonnor universe. In this process, the Taub-NUT spacetime in ModMax has played a crucial role. We present this Taub-NUT solution in a different gauge that facilitates the comparison with the Melvin-Bonnor-Swirling case.

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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. Degenerate higher-order Maxwell-Einstein theories

    gr-qc 2025-02 conditional novelty 7.0 of 10

    A complete classification of quadratic degenerate Maxwell-Einstein theories is given, including a new theory that generalizes Horndeski's non-minimal coupling to gauge fields.

  2. Thermodynamics of charged and accelerating black holes

    gr-qc 2025-01 conditional novelty 7.0 of 10

    For charged accelerating AdS black holes in Maxwell, ModMax, and RegMax theories, topological renormalization of the Euclidean action differs from holographic renormalization by 2πℓ²μ₊T when the total cosmic string te...

  3. Generalised Harrison transformations and black diholes in Einstein-ModMax

    gr-qc 2025-07 conditional novelty 6.0 of 10

    Generalized Harrison transformations in Einstein-ModMax theory generate a new black dihole solution and a dilaton generalization.

  4. Black hole solutions in theory of ModMax-dRGT-like massive gravity

    gr-qc 2025-07 reject novelty 2.0 of 10

    Purely electric ModMax electrodynamics is just Maxwell with a rescaled coupling, so the reported ModMax-dRGT black holes are known dRGT-like massive gravity solutions with a redefined charge.

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