Solution (source code)

= Solution

This mode is most plausible for a nearly stationary <supermassive black hole> immersed in the hot, pressure-supported, X-ray-emitting atmosphere of a massive elliptical galaxy. Such gas is comparatively smooth, its random and rotational speeds can be smaller than its <sound speed>, and radiative cooling can be slow on the inflow scale.

The ideal <Bondi accretion> assumptions can fail in several independent ways. The gas may carry enough <specific angular momentum> to circularize into an <accretion disk>; a galaxy's stars and dark matter can dominate the gravitational potential outside the black hole's sphere of influence; the hole can move relative to the gas; cooling, conduction, or external heating can destroy adiabaticity or isothermality; a multiphase or clumpy medium is not a uniform reservoir; magnetic fields, turbulence, and viscosity add stresses absent from the spherical model; and <active-galactic-nucleus feedback>[AGN feedback], winds, or jets can expel or recirculate the inflow. Time dependence and self-gravity provide further failures. Thus a Bondi estimate is best interpreted as an idealized supply rate, not automatically as the rate crossing the event horizon.