The demography of massive central black holes

Mathematics – Probability

Scientific paper

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Scientific paper

There are currently around 10 galaxies for which there is strong evidence for a massive central black hole. Kormendy & Richstone have pointed out a striking correlation between galaxy and BH mass, namely M_bh ~ 0.004M_gal. An interesting question is whether this correlation is due to a narrow ridge in the probability distribution p(M_bh|M_gal), or whether it is merely a selection effect. We attempt to answer this question using a sample of 36 galaxies for which HST photometry and ground-based kinematics are available. Each galaxy is assumed to be axisymmetric, with an arbitrary inclination angle, and a central BH of arbitrary mass. Moreover, each is assumed to be well described by a two-integral DF. These assumptions allow us to calculate the likelihood of the sample given any p(M_bh|M_gal), and thus to calculate bookmakers' odds for different assumed forms for the latter.

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