| High-Redshift Galaxies, Their Active Nuclei and Central Black Holes (2007) | |||||||||||||
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| We demonstrate that the luminosity function of the recently detected population of actively star-forming galaxies at redshift three and the B-band QSO luminosity function at the same redshift can both be matched with the mass function of dark matter haloes predicted by standard variants of hierarchical cosmogonies for lifetimes of optically bright QSOs anywhere in the range 10 6 to 10 8 yr. There is a strong correlation between the lifetime and the required degree of non-linearity in the relation between black hole and halo mass. We suggest that the mass of supermassive black holes may be limited by the back-reaction of the emitted energy on the accretion flow in a self-gravitating disc. This would imply a relation of black hole to halo mass of the form M bh / v 5 halo / M 5=3 halo and a typical duration of the optically bright QSO phase of a few times 10 7 yr. The high integrated mass density of black holes inferred from recent black hole mass estimates in nearby galaxies may... | |||||||||||||
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