The authors present self-consistent simulations of the evolution of spherically symmetric active galactic nuclei (AGNs). An energy-space Fokker-Planck code is used to determine the evolution of the stellar system, and another code which integrates the steady state, spherically symmetric hydrodynamics equations is used simultaneously to determine the flow profile of the intercloud medium. The initial condition is a dense Plummer model stellar system with a central seed black hole. The intercloud medium is assumed to originate from stellar collisions and stellar mass loss. The model AGN evolutions are self-consistent in that they couple the luminosity of the central source, the accretion of the intercloud gas by the central source, the injection rate and flow of the intercloud gas, and the dynamical evolution of the stellar system.
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David et al. (1987) studied this question.