LAUSR

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: β is associated to the potential vectors Aμ and ⋆Pν , 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 Ψ2, the Ricci tensor eigenvalue S = 2Φ(11), and the scalar curvature R; it allows for event horizons, exhibits a ring singularity and fulfils the energy conditions. Its Maxwell limit is the Kerr–Newman black hole.