Dark Matter in Galaxies and Growth of Giant Black Holes

The connection between dark matter and giant black holes in the galactic nuclei is investigated. The joint evolution of dark and luminous matter in averaged self-consistent gravitational potential is considered. It is shown that the distribution of dark matter remains spherically symmetric even in presence of essential asymmetry of luminous matter in the galaxy. The kinetic equation describing evolution of dark matter particles distribution function which takes into account their dynamics in gravitational potential and scattering on stars is derived. It is shown that significant flux of dark matter on a seed black hole in the center of galaxy should appear. The growth law of seed black hole due to absorption of dark matter is derived. It appears that during the lifetime of galaxy the seed black hole should grow significantly, up to scales ∼ 8 · 10 7 M ⊙. Brief analysis of observational data shows that the presented theory is in reasonable agreement with observations.