Constraints on QSO models from a relation between the QSO luminosity function and the local black hole mass function

Abstract

QSOs are believed to be powered by accretion onto massive black holes (BHs). In this paper, assuming that each central BH in nearby galaxies has experienced the QSO phase and ignoring BH mergers, we establish a relation between the QSO luminosity function (LF) and the local BH mass function (MF). The QSOLF is jointly controlled by the luminosity evolution of individual QSOs and the triggering history of the accretion onto seed BHs. By comparing the time integral of the QSOLF with that inferred from local BHs, we separate the effect of the luminosity evolution of individual QSOs from the effect of the triggering history. Assuming that the nuclear luminosity evolution includes two phases (first increasing at the Eddington luminosity with growth of BHs and then declining), we find that observations are generally consistent with the expected relation between the QSOLF and the local BHMF and obtain the constraints on QSO models and BH growth. We point out that it is hard to accurately estimate the value of the QSO lifetime from the QSOLF and/or the local BHMF, if it is longer than a certain value (e.g., four times of the Salpeter timescale in this study). We discuss the importance of accurate measurements of the intrinsic scatter in the BH mass and velocity dispersion relation of local galaxies and the scatter in the bolometric correction of QSOs. We also discuss some possible applications of the work in this paper, such as to the study of the demography of QSOs and the demography of normal galaxies at intermediate redshift (abridged).

36 pages, including 9 figures; minor revisions to match the published version

References in corpus (19)

• The slope of the black-hole mass versus velocity dispersion correlation
• The Galaxy Luminosity Function and Luminosity Density at Redshift z=0.1
• Observational constraints on growth of massive black holes
• A Survey of z>5.7 Quasars in the Sloan Digital Sky Survey II: Discovery of Three Additional Quasars at z>6
• Beyond the Bulge: a Fundamental Relation Between Supermassive Black Holes and Dark Matter Halos
• Three-dimensional MHD Simulations of Radiatively Inefficient Accretion Flows
• Galaxies and Intergalactic Matter at Redshift z~3: Overview
• Super-Eddington Fluxes from Thin Accretion Disks?
• Evolution of massive binary black holes
• Axisymmetric Dynamical Models of the Central Regions of Galaxies
• Optical and Infrared Properties of the 2 Ms Chandra Deep Field-North X-ray Sources
• Long Term Evolution of Massive Black Hole Binaries
• Early-type galaxies in the SDSS. II. Correlations between observables
• Most Supermassive Black Holes must be Rapidly Rotating
• The Black Hole-Bulge Relationship in QSOs
• The velocity dispersion function of early-type galaxies
• Observational evidence for a connection between supermassive black holes and dark matter haloes
• The Cosmic Density of Massive Black Holes from Galaxy Velocity Dispersions
• What does the local black hole mass distribution tell us about the evolution of the quasar luminosity function?

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• An Observational Determination of the Bolometric Quasar Luminosity Function
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• Self-Consistent Models of the AGN and Black Hole Populations: Duty Cycles, Accretion Rates, and the Mean Radiative Efficiency
• The Masses of Nuclear Black Holes in Luminous Elliptical Galaxies and Implications for the Space Density of the Most Massive Black Holes
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• Constraints on Black Hole Growth, Quasar Lifetimes, and Eddington Ratio Distributions from the SDSS Broad Line Quasar Black Hole Mass Function
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• Quasars Are Not Light-Bulbs: Testing Models of Quasar Lifetimes with the Observed Eddington Ratio Distribution
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• The Demographics of Broad-Line Quasars in the Mass-Luminosity Plane. I. Testing FWHM-Based Virial Black Hole Masses
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• The cosmic growth of the active black hole population at 1<z<2 in zCOSMOS, VVDS and SDSS
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• Supermassive Black Holes in the Hierarchical Universe: A General Framework and Observational Tests
• Selection effects in the black hole-bulge relation and its evolution
• On the inconsistency between the black hole mass function inferred from M_bh-sigma and M_bh-L correlation
• Trinity I: Self-Consistently Modeling the Dark Matter Halo-Galaxy-Supermassive Black Hole Connection from $z=0-10$
• Do We Expect Most AGN to Live in Disks?
• Mass Functions of Supermassive Black Holes Across Cosmic Time
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• Cosmic Evolution of Black Holes and Spheroids. V. The Relation Between Black Hole Mass and Host Galaxy Luminosity for a Sample of 79 Active Galaxies
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• Constraints on black hole duty cycles and the black hole-halo relation from SDSS quasar clustering
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• The Black Hole Mass Function Across Cosmic Times I. Stellar Black Holes and Light Seed Distribution
• Stellar Mass Function of Active and Quiescent Galaxies via the Continuity Equation
• Helium Reionization Simulations. I. Modeling Quasars as Radiation Sources
• The Black Hole Mass Function Across Cosmic Times II. Heavy Seeds and (Super)Massive Black Holes
• Microlensing of Sub-parsec Massive Binary Black Holes in Lensed QSOs: Light Curves and Size-Wavelength Relation
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• Effect of accreting tidally disrupted stars on the spin evolution of $\sim 10^6{M}_{\odot }$ black holes
• Theory of disk accretion onto supermassive black holes
• Cosmological Growth History of Supermassive Black Holes and Demographics in the High-z Universe : Do Lyman-Break Galaxies Have Supermassive Black Holes?
• AGN lifetimes in UV-selected galaxies: a clue to supermassive black hole-host galaxy coevolution
• On the Power to Constrain the Accretion History of Massive Black Holes via Spin Measurements by Upcoming X-Ray Telescopes
• Extracting the Possible Intrinsic Relation between Radiative Efficiency and Mass of QSOs: a Maximum Likelihood Method and its Application to the SDSS DR7 QSOs
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