  We investigate the accretion onto luminous bodies with hard surfaces within
the framework of newtonian theory. The accreting gases are assumed to be
polytropes and their selfgravitation is included. A remarkable feature of the
model is that under proper boundary conditions some parameters of the sonic
point are the same as in the Bondi model and the relation between luminosity
and the gas abundance reduces to an algebraic relation. All that holds under
assumptions of stationarity and spherical symmetric. Assuming data that are
required for the complete specification of the system, one finds that
generically for a given luminosity there exist two solutions with different
compact cores.
