SIMULTANEOUS EVOLUTION OF AN ACTIVE GALAXY NUCLEUS AND A CENTRAL MASSIVE BLACK-HOLE

The parameters of stellar systems with a massive central black hole are found in the case where the collective interactions around the black hole result in a stellar density peak n(r) approximately r-7/4. The existence of such a density peak may lead to the evolutionary expansion and "freezing" of stellar systems in which a normal galactic nucleus contains a "dead" central quasar. On the other hand, for active galactic nuclei, the most natural condition is to have no density peak, so that the stellar contracts without bound. During the final stage of this contraction, the black hole luminosity is close to the Eddington limit and is caused by the accretion of gas librated when the stars in the system collide.