Stationary Rotating Black Hole Exact Solution within Einstein--Nonlinear Electrodynamics
General Relativity and Quantum Cosmology
2021-12-14 v1
Abstract
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.
Cite
@article{arxiv.2112.06302,
title = {Stationary Rotating Black Hole Exact Solution within Einstein--Nonlinear Electrodynamics},
author = {Alberto A. Garcia-Diaz},
journal= {arXiv preprint arXiv:2112.06302},
year = {2021}
}