The a/m ratio of the baryonic matter and the black holes demography in galaxies

Abstract The last years have seen a big progress in establishing the existence of supermassive black holes in the centers of galaxies. There are numerous very good cases [MNRAS 291 (1997) 219] where observations require a deep potential well. These observations raise the problem of when and how they formed and eventually when they gain most of their mass. The formation of a stationary black-hole is constrained by the conditions M >3 M ⊙ and cJ / GM 2 ≡ a / m J and M being the angular momentum and the total mass of the configuration which has collapsed to the hole. In this paper we analyze the behaviour of the a / m ratio of the baryonic content in a protogalaxy, “primordial” scenario, and in a hot galaxy, “evolved” scenario, endowed with a suitable angular momentum distribution. In both the cases the baryonic matter is embedded in the gravitational potential generated by a cosmological Dark Matter (DM) halo. We deduce that the “primordial” scenario is less favourable to the black hole formation than the “evolved” one. Moreover, in the “evolved” scenario we find a twofold behaviour of the a / m parameter which reflects the observed bimodal distribution of the central brightness in early-type galaxies and agrees with their corresponding degree of nuclear activity. As suggested by results of our SPH simulations of barred galaxies, the treatment of the dissipative processes and the inclusion of the star formation further improve the previous framework showing that barred galaxies provide very good environment for black hole formation.