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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
classification gr-qchep-th
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 6 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. Algebraic and optical properties of generalized Kerr-Schild spacetimes in arbitrary dimensions

    gr-qc 2025-01 conditional novelty 7.0 of 10

    The algebraic type of the Weyl and Ricci tensors in generalized Kerr-Schild spacetimes is bounded in speciality by the background, so the full geometry cannot be more special than its background.

  4. 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.

  5. The lack of influence of the scalar hair on the DC conductivity

    hep-th 2024-12 conditional novelty 4.0 of 10

    The DC conductivity of beyond-Horndeski axionic black holes is shown to be independent of the primary scalar hair parameter, depending only on horizon data and axion and charge parameters.

  6. 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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