Dark matter in galaxies and the growth of giant black holes

The connection between dark matter and giant black holes in the galacticnuclei is investigated. The joint evolution of dark and luminous matter inaveraged self-consistent gravitational potential is considered. It is shownthat the distribution of dark matter remains spherically symmetric even inpresence of essential asymmetry of luminous matter in the galaxy. The kinetic equation describing evolution of dark matter particlesdistribution function which takes into account their dynamics in gravitationalpotential and scattering on stars is derived. It is shown that significant fluxof dark matter on a seed black hole in the center of galaxy should appear. Thegrowth law of seed black hole due to absorption of dark matter is derived. Itappears that during the lifetime of galaxy the seed black hole should growsignificantly, up to observed value. Brief analysis of observational data showsthat the presented theory is in reasonable agreement with observations