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We analyze stationary accretion of selfgravitating gas onto a compact centerwithin general-relativistic radiation hydrodynamics. Spherical symmetry andthin gas approximation are assumed. Numerical investigation shows thattransonic flows exist for small redshifts and they cease to exist for highredshifts and high luminosities. There exist two branches of flows (subsonic orsupersonic) that originate at a bifurcation point and that embrace the set ofsubsonic solutions. The morphology of the set of subsonic solutions isessentially independent of redshifts and flows that belong to their boundaryprovide estimates of the gas abundance of subsonic solutions. It appears thatprescribed boundary data guarantee uniqueness only of the bifurcation point,and that the latter has maximal luminosity.

Supersonic and subsonic flows in general relativistic radiation hydrodynamics