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Recently the first real image of the supermassive black hole at the heart ofthe galaxy M87 successfully has been captured. To explain the behavior of boththe observed powerful jets and the electromagnetic accretion disk the BlandfordZnajek mechanism, by the Event Horizon Telescope collaboration, has beenconsidered. To justify these phenomena we are seeking an exact solution for aperturbed Rissner-Nordstrom black hole surrounded by a force-free fieldelectrodynamics accretion disk. Although a charged black hole is a toy model,by tending the charge to zero one can obtain the results for a perturbed,rotating, Schwarzschild one immediately. Finding an exact solution in regardsto the force-free field electrodynamics as a source for perturbations indifferent classes of the black holes is may one of the open problems yet. Hereto find the solution, different Maxwell's scalars besides the energy-momentumtensor in both tangent and bend backgrounds are calculated. In doing so, thewell known Newman-Penrose formalism is considered.

An exact solution for a force-free field electrodynamics accretion disk surrounding a perturbed charged black hole