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A recent research presented a solution for a Schwarzschild black hole with aforce-free magnetic field showing how the canonical form of background metricchanges, Found. Phys. 52 (2022) 4, 93. Therefore, it is logical that thisresearch seeks modified solutions for the Kerr black hole as well. The goal ofthis paper is, thereby, to pinpoint an exact solution for the Kerr black holesperturbed by force-free magnetic fields. However, to do this we use awell-known tetrad formalism and obtain an explicit expression for theelectromagnetic strength tensor in the background metric, that is Kerr, basedon the tangent space calculations. Analyzing the stress-energy tensor revealsthe perturbed factors in the metric that allow us to understand better thephysics of the disks around massive and supermassive black holes. These resultsshow that it is not enough to depend solely on perturbation theory set againstthe background metric, without considering the backreaction of the force-freemagnetufluid on it. This research indicates the necessity of studying theimpact of force-free magnetic fields on the structure and evolution ofmysterious cosmic objects.

Force Free Magnetic Field and Modifications in Kerr Black Hole