Dark matter in galaxies and the growth of giant black holes

Abstract

The relationship of dark matter to giant black holes (BHs) in galactic nuclei is investigated. The simultaneous evolution of dark and baryonic matter under the effect of an averaged self-consistent gravitational field is considered. The distribution of dark matter is shown to remain spherically symmetric even if there is an appreciable asymmetry in the distribution of baryonic matter in the galaxy. A kinetic equation that describes the evolution of the distribution function for dark matter with gravitational scattering by stars is derived. A significant flux of dark matter on a seed BHe at the galactic center is shown to arise under these conditions. The law of growth of the seed BH via the absorption of dark matter has been established. The seed BH is shown to grow significantly, up to 107–108 M⊙, in the lifetime of the galaxy. Observational data are briefly analyzed, and the presented theory has been found to be in reasonable agreement with experimental data.