Force Free Magnetic Field and Modifications in Kerr Black Hole

Abstract

A recent research presented a solution for a Schwarzschild black hole with a force-free magnetic field showing how the canonical form of background metric changes, Found. Phys. 52 (2022) 4, 93. Therefore, it is logical that this research seeks modified solutions for the Kerr black hole as well. The goal of this paper is, thereby, to pinpoint an exact solution for the Kerr black holes perturbed by force-free magnetic fields. However, to do this we use a well-known tetrad formalism and obtain an explicit expression for the electromagnetic strength tensor in the background metric, that is Kerr, based on the tangent space calculations. Analyzing the stress-energy tensor reveals the perturbed factors in the metric that allow us to understand better the physics of the disks around massive and supermassive black holes. These results show that it is not enough to depend solely on perturbation theory set against the background metric, without considering the backreaction of the force-free magnetufluid on it. This research indicates the necessity of studying the impact of force-free magnetic fields on the structure and evolution of mysterious cosmic objects.Comment: 11 page