Accretion with cooling and e_rot = 0.3 (blue): evolution of the accretion rate (physical and normalized to the kpc-scale, runtime Bondi rate – top and bottom panel, respectively). The dashed line is the average cooling rate (related to the gas with T< 10⁵ K). Solid black line is the adiabatic rotating model (Sect. 3). Despite the substantial cooling rates,  yr^-1, the final accretion rate is two orders of magnitude lower because of the formation of a rotationally-supported thin disk.