  We analyze stationary accretion of selfgravitating gas onto a compact center
within general-relativistic radiation hydrodynamics. Spherical symmetry and
thin gas approximation are assumed. Numerical investigation shows that
transonic flows exist for small redshifts and they cease to exist for high
redshifts and high luminosities. There exist two branches of flows (subsonic or
supersonic) that originate at a bifurcation point and that embrace the set of
subsonic solutions. The morphology of the set of subsonic solutions is
essentially independent of redshifts and flows that belong to their boundary
provide estimates of the gas abundance of subsonic solutions. It appears that
prescribed boundary data guarantee uniqueness only of the bifurcation point,
and that the latter has maximal luminosity.
