  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.
