On generic rotating regular black hole solutions

Abstract

In the present paper, we study rotating regular black hole (RBH) in the model of nonlinear electrodynamics (NED) in the framework of General Relativity (GR). The paper explores derivation of the generic form of rotating RBH solutions which can be written in Kerr-like form in Boyer–Lindquist coordinates. It is shown that RBH solutions depend on NED Lagrangian. Lastly, we also showed that Kerr–Newman–Taub–NUT spacetime, which is solution of Einstein–Maxwell equations, can be a candidate for one of exact analytical rotating RBH solution by calculating curvature invariants at origin r=0, as well as, Kerr–Taub–NUT and Taub–NUT spacetimes.