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Stationary Rotating Black Hole Exact Solution within Einstein--Nonlinear Electrodynamics

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arxiv 2112.06302 v1 pith:7PX6AJ73 submitted 2021-12-12 gr-qc

Alberto A. Garcia-Diaz This is my paper · ORCID
classification gr-qc
keywords blackelectrodynamicsholesolutioneigenvalueexactrotatingtensor
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The first exact rotating charged black hole solution to the Einstein{nonlinear electrodynamics theory is reported. It is equipped with mass, rotation parameter, electric and magnetic charges, and three parameters due to the electrodynamics: beta is associated to the potential vectors A{mu} and starP{nu}, and two constants, F0 and G0, related to the presence of the invariants F and G in the Lagrangian L(F;G). This Petrov type D solution is characterized by the Weyl tensor eigenvalue Psi2, the Ricci tensor eigenvalue S = 2Phi(11), and the scalar curvature R; it allows for event horizons, exhibits a ring singularity and fulfills the energy conditions. Its Maxwell limit is the Kerr{Newman black hole.

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Cited by 2 Pith papers

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

  1. Shadow of a nonlinear electromagnetic generalized Kerr-Newman-AdS black hole

    gr-qc 2025-08 unverdicted novelty 5.0 of 10

    The authors derive shadow size, distortion, area, and oblateness for a nonlinear-electrodynamics Kerr-Newman-AdS black hole and use EHT angular-diameter data to bound the spin, effective charge, and nonlinearity parameter.

  2. Scattering and absorption of massless scalar waves by a ModMax black hole

    gr-qc 2025-06 conditional novelty 4.0 of 10

    Massless scalar-wave scattering and absorption cross sections for ModMax black holes are computed and shown to reproduce the Reissner-Nordström limit with an effective screened charge.

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