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Numerical analysis of dark matter axion-like cloud in the vicinity ofrotating black hole has been performed. The model where axion-like scalar fieldis non-trivially coupled to Maxwell field is studied in the spacetime of Kerrblack hole in uniform magnetic field and in Kerr-Newman one. The dependence ofscalar mass and black hole angular momentum on accumulation of axion darkmatter cloud was given. It was revealed that condensation of the dark matterclouds is preferable for a very small mass of axion.

Axion-like dark matter clouds around rotating black holes