Hydrodynamic accretion of gas with angular momentum onto a black hole

An analytical solution is obtained to a two-dimensional problem of ideal hydrodynamics that describes axisymmetric stationary accretion of matter with nonzero angular momentum onto a nonrotating black hole. The asymptotic behavior of this solution is shown to be universal, i.e., it depends only slightly on the external conditions and the equation of state of the medium. The derived solution confirms the existence of an accretion disk.