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      Super-massive Black Hole Demography: the Match between the Local and Accreted Mass Functions

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          Abstract

          We have performed a detailed analysis of the local super-massive black-hole (SMBH) mass function based on both kinematic and photometric data and derived an accurate analytical fit in the range 10^6 <= (M_BH/M_sun) <= 5*10^9. We find a total SMBH mass density of (4.2+/-1.1)*10^5 M_sun/Mpc^3, about 25% of which is contributed by SMBHs residing in bulges of late type galaxies. Exploiting up-to-date luminosity functions of hard X-ray and optically selected AGNs, we have studied the accretion history of the SMBH population. If most of the accretion happens at constant \dot{M_BH}/M_BH the local SMBH mass function is fully accounted for by mass accreted by X-ray selected AGNs, with bolometric corrections indicated by current observations and a standard mass-to-light conversion efficiency \epsilon ~10%. The analysis of the accretion history highlights that the most massive BHs accreted their mass faster and at higher redshifts (z>1.5), while the lower mass BHs responsible for most of the hard X-ray background have mostly grown at z<1.5. The accreted mass function matches the local SMBH mass function if \epsilon ~0.09(+0.04,-0.03) and the Eddington ratio \lambda=L/L_Edd \~0.3(+0.3,-0.1) (68% confidence errors). The visibility time, during which AGNs are luminous enough to be detected by the currently available X-ray surveys, ranges from ~0.1 Gyr for present day BH masses M_BH(z=0) ~10^6 M_sun to ~0.3 Gyr for M_BH(z=0) >= 10^9 M_sun. The mass accreted during luminous phases is >= 25-30% even if we assume extreme values of \epsilon (\epsilon \~0.3-0.4). An unlikely fine tuning of the parameters would be required to account for the local SMBH mass function accomodating a dominant contribution from 'dark' BH growth (due, e.g., to BH coalescence).

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          On the black hole - bulge mass relation in active and inactive galaxies

          , (2001)
          New black-hole mass estimates are presented for a sample of 72 AGN covering three decades in optical luminosity. Using a sub-sample of Seyfert galaxies, which have black-hole mass estimates from both reverberation mapping and stellar velocity dispersions, we investigate the geometry of the AGN broad-line region (BLR). It is demonstrated that a model in which the orbits of the line-emitting material have a flattened geometry is favoured over randomly orientated orbits. Using this model we investigate the M_{bh}-L_{bulge} relation for a combined 90-object sample, consisting of the AGN plus a sample of 18 nearby inactive elliptical galaxies with dynamical black-hole mass measurements. It is found that, for all reasonable mass-to-light ratios, the M_{bh}-L_{bulge} relation is equivalent to a linear scaling between bulge and black-hole mass. The best-fitting normalization of the M_{bh}-M_{bulge} relation is found to be M_{bh}=0.0012M_{bulge}, in agreement with recent black-hole mass studies based on stellar velocity dispersions. Furthermore, the scatter around the M_{bh}-L_{bulge} relation for the full sample is found to be significantly smaller than has been previously reported (Delta \log M_{bh}=0.39 dex). Finally, using the nearby inactive elliptical galaxy sample alone, it is shown that the scatter in the M_{bh}-L_{bulge} relation is only 0.33 dex, comparable to that of the M_{bh}-sigma relation. These results indicate that reliable black-hole mass estimates can be obtained for high redshift galaxies.
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            Journal
            10.1111/j.1365-2966.2004.08261.x
            astro-ph/0405585

            General astrophysics
            General astrophysics

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