The Bondi solution is often used to model accretion onto black holes (BHs) 
from galactic scales. However, is well known that feedback processes may 
significantly reduce the mean accretion rate and produce a time-dependent 
cycle of accretion onto the BH. I will present theoretical work on 
radiation-regulated accretion onto BHs from galactic scales, focusing on 
the effects of radiation and thermal pressures and angular momentum of the 
accreting gas. Starting from radiation-hydrodynamic simulations of accretion 
onto intermediate-mass BHs, we derive a physically motivated model for the 
accretion and scaling relationships valid for a range of BH masses that are 
general solutions of the Bondi problem with radiation feedback. Despite the 
idealized initial conditions the results of the simulations are surprisingly 
rich and differ qualitatively from the classical Bondi-Lyttleton solutions. 
For instance, we identify two modes of accretion with widely different duty 
cycles, determined by the density of the ambient gas feeding the BH. 
The mean BH growth rate in the sub-Eddington regime is proportional to the 
thermal pressure of the ambient gas and, surprisingly, BHs moving 
supersonically with respect to the ambient medium can grow more efficiently 
than static BHs. These results are important to model accretion onto 
intermediate mass BHs in the early universe and ultraluminous X-ray sources 
(ULXs) in local galaxies.