Initial mass spectrum of black holes in galactic nuclei

Abstract

Within the framework of the cosmological model with cold dark matter we have calculated the initial mass function of supermassive black holes formed in galactic nuclei. The collapsing region is modeled by a homogeneous ellipsoid. It is assumed that the accumulation of angular momentum by the proto-object takes place under the action of external tidal forces, and that surmounting of the centrifugal barrier with subsequent gravitational collapse occurs as a result of turbulent viscosity. To determine the mass function, we first find the angular momentum distribution function of the nascent objects for an arbitrary spectrum of initial density perturbations. The initial mass function is compared with available observations, and some processes leading to its transformation are indicated.