Stationary Rotating Black Hole Exact Solution within Einstein--Nonlinear Electrodynamics
Abstract
The first exact rotating charged black hole solution to the Einsteinnonlinear 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 Amu and starPnu, 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 KerrNewman black hole.
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