2012
DOI: 10.1088/0004-637x/749/2/187
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Cosmological Evolution of Supermassive Black Holes. Ii. Evidence for Downsizing of Spin Evolution

Abstract: The spin is an important but poorly constrained parameter for describing supermassive black holes (SMBHs). Using the continuity equation of SMBH number density, we explicitly obtain the mass-dependent cosmological evolution of the radiative efficiency for accretion, which serves as a proxy for SMBH spin. Our calculations make use of the SMBH mass function of active and inactive galaxies (derived in the first paper of this series), the bolometric luminosity function of active galactic nuclei (AGNs), corrected f… Show more

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Cited by 47 publications
(61 citation statements)
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“…Estimates of the average radiative efficiency using different methods yieldη > ∼ 0.1 (Soltan 1982;Elvis et al 2002;Yu & Tremaine 2002;Wang et al 2006;Davis & Laor 2011;hereafter DL11). Individual values of η may not only scatter over about one order of magnitude (depending on the accretion history from chaotic to coherent accretion; see Dotti et al 2013) but may also depend on M. A correlation between spin and mass was predicted by numerical simulations of the BH growth (Dotti et al 2013) and seems to be present in different quasar samples (DL11; Laor & Davis 2011a;Li et al 2012;Raimundo et al 2012;Chelouche 2013; see also below). At highest temperatures, the T profile is determined by r in (Eq.…”
Section: Scaling Relationsmentioning
confidence: 94%
“…Estimates of the average radiative efficiency using different methods yieldη > ∼ 0.1 (Soltan 1982;Elvis et al 2002;Yu & Tremaine 2002;Wang et al 2006;Davis & Laor 2011;hereafter DL11). Individual values of η may not only scatter over about one order of magnitude (depending on the accretion history from chaotic to coherent accretion; see Dotti et al 2013) but may also depend on M. A correlation between spin and mass was predicted by numerical simulations of the BH growth (Dotti et al 2013) and seems to be present in different quasar samples (DL11; Laor & Davis 2011a;Li et al 2012;Raimundo et al 2012;Chelouche 2013; see also below). At highest temperatures, the T profile is determined by r in (Eq.…”
Section: Scaling Relationsmentioning
confidence: 94%
“…Detailed considerations also indicate that η may depend significantly upon SMBH mass and redshift (e.g., Li et al 2012;Shankar 2013;Ueda et al 2014).…”
Section: The So Ltan Argument For X-ray Selected Agnsmentioning
confidence: 99%
“…We argue that the use of a constant in AGNs/QSOs is appropriate as follows: (1) is determined mainly by the spins of MBHs in the standard disk accretion scenario; (2) the majority of the AGNs/QSOs are accreting via thin disks with high Eddington ratios ( 0.1); and (3) the spins of individual MBHs can quickly reach an equilibrium value and stay at that value for most of the AGN lifetime as suggested by theoretical models (e.g., Volonteri et al 2005;Shapiro 2005;Hawley et al 2007;Maio et al 2012), which suggests a roughly constant at all redshifts. Note that according to recent observations, some authors such as Davis & Laor (2011), Martínez-Sansigre & Rawlings (2011), and Li et al (2012b introduced a dependence of on the redshift or MBH mass. However, these results may be due only to some observational biases (e.g., Raimundo et al 2012) and need further investigation.…”
Section: Mass-to-energy Conversion Efficiency In Agns/qsosmentioning
confidence: 99%