Reconstructing the Cosmic Evolution of Quasars from the Age Distribution of Local Early-Type Galaxies

Abstract

We use the spectra of 22,000 nearby early-type galaxies from the Sloan Digital Sky Survey (SDSS) to determine the age distribution of these galaxies as a function of their velocity dispersion sigma_v in the range 100 km/s < sigma_v < 280 km/s. We then combine the inferred age-distributions with the local abundance of spheroids, including early-type galaxies and late-type bulges, to predict the evolution of the quasar luminosity function (LF) in the redshift range 0<z<6. We make the following simple assumptions: (i) the formation of stars in each galaxy, at the epoch identified with the mean mass-weighted stellar age, is accompanied by the prompt assembly of the nuclear supermassive black hole (SMBH); (ii) the mass of the SMBH obeys the M_bh-sigma_v correlation observed in nearby galaxies; (iii) the SMBH radiates at a fraction f_Edd of the Eddington limit for a fixed duration t_Q, and is identified as a luminous quasar during this epoch, (iv) the intrinsic dispersions in the Eddington ratio and the M_bh-sigma_v relation produce a combined scatter of Delta(log L_Q) around the mean logarithmic quasar luminosity <log L_Q> at fixed sigma_v. These assumptions require that the SMBH remnants of quasars with bolometric luminosity below L_bol=10^{12.5} f_Edd L_sun reside predominantly in bulges of late type galaxies. We find that evolution of the observed quasar LF can be fit over the entire redshift range in this simple model, 0<z<6 with the choices of Delta(log L_Q)=0.6-0.9, t_Q= (6-8)x10^7 yr, and <f_Edd>=0.3-0.5. We find no evidence that any of the model parameters evolves with redshift, supporting the strong connection between the formation of stars and nuclear SMBHs in spheroids.

Submitted to ApJ

References in corpus (44)

• The Sloan Digital Sky Survey: Technical Summary
• A Fundamental Relation Between Supermassive Black Holes and Their Host Galaxies
• The Demography of Massive Dark Objects in Galaxy Centres
• A Relationship Between Nuclear Black Hole Mass and Galaxy Velocity Dispersion
• Reverberation Measurements for 17 Quasars and the Size-Mass-Luminosity Relations in Active Galactic Nuclei
• A Unified, Merger-Driven Model for the Origin of Starbursts, Quasars, the Cosmic X-Ray Background, Supermassive Black Holes and Galaxy Spheroids
• The Relation between Black Hole Mass, Bulge Mass, and Near-Infrared Luminosity
• A Unified Model for the Evolution of Galaxies and Quasars
• A Physical Model for the Co-evolution of QSOs and of their Spheroidal Hosts
• AGN Black Hole Masses and Bolometric Luminosities
• The 2dF QSO Redshift Survey - I. The Optical QSO Luminosity Function
• The Complete Star Formation History of the Universe
• Self-Regulated Growth of Supermassive Black Holes in Galaxies as the Origin of the Optical and X-ray Luminosity Functions of Quasars
• The Cosmic Evolution of Hard X-ray Selected Active Galactic Nuclei
• Black Hole Masses and Eddington Ratios at 0.3<z<4
• The Growth and Structure of Dark Matter Haloes
• A Correlation between Galaxy Light Concentration and Supermassive Black Hole Mass
• Super-massive Black Hole Demography: the Match between the Local and Accreted Mass Functions
• The Fundamental Scaling Relations of Elliptical Galaxies
• Massive Lossless Data Compression and Multiple Parameter Estimation from Galaxy Spectra
• Observational Signatures of the First Quasars
• Mass and Redshift Dependence of Dark Halo Structure
• The velocity dispersion function of early-type galaxies
• Joint Formation of QSOs and Spheroids: QSOs as clocks of star formation in Spheroids
• Red Mergers and the Assembly of Massive Elliptical Galaxies: the Fundamental Plane and its Projections
• Early Growth and Efficient Accretion of Massive Black Holes at High Redshift
• Finding the Electromagnetic Counterparts of Cosmological Standard Sirens
• Cosmic Evolution of Black Holes and Spheroids. I: The M_BH-sigma Relation at z=0.36
• Quasar Luminosity Functions from Joint Evolution of Black Holes and Host Galaxies
• Evolution and environment of early-type galaxies
• Galaxy merging, the Fundamental Plane of elliptical galaxies, and the Mbh-sigma relation
• The Black Hole - Bulge Relationship for QSOs at High Redshift
• On the Relationship between Galaxy Formation and Quasar Evolution
• Joint Cosmological Formation of QSOs and Bulge-dominated Galaxies
• Reasoning From Fossils: Learning From the Local Black Hole Population About the Evolution of Quasars
• Time Evolution of Galaxy Formation and Bias in Cosmological Simulations
• The Mbh-sigma relation as a constraint on the formation of elliptical galaxies
• Bulges on the Fundamental Plane of Early-Type Galaxies
• Luminosity-Dependent Quasar Lifetimes: Reconciling the Optical and X-ray Quasar Luminosity Functions
• The Parkes quarter-Jansky flat-spectrum sample 3. Space density and evolution of QSOs
• A Log-Quadratic Relation Between the Nuclear Black-Hole Masses and Velocity Dispersions of Galaxies
• On the Cosmological Evolution of the Luminosity Function and the Accretion Rate of Quasars
• Relic Black Holes In Galactic Nuclei
• The quasar epoch and the stellar ages of early-type galaxies

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• The Assembly of Supermassive Black Holes at High Redshifts
• Quasars Are Not Light-Bulbs: Testing Models of Quasar Lifetimes with the Observed Eddington Ratio Distribution
• On the radiative efficiencies, Eddington ratios, and duty cycles of luminous high-redshift quasars
• The Formation of the First Massive Black Holes
• The Evolution of the M_BH-sigma relation Inferred from the Age Distribution of Local Early-Type Galaxies and AGN Evolution
• On the inconsistency between the black hole mass function inferred from M_bh-sigma and M_bh-L correlation
• The ages, metallicities and star formation histories of early-type galaxies in SDSS
• Mass Functions of Supermassive Black Holes Across Cosmic Time
• Lifting the Veil on Obscured Accretion: Active Galactic Nuclei Number Counts and Survey Strategies for Imaging Hard X-ray Missions
• The age dependence of the size-stellar mass relation and some implications
• The Globular Cluster/Central Black Hole Connection in Galaxies
• Evolution of Quiescent and Star-Forming Galaxies Since z~1.5 as a Function of Their Velocity Dispersions
• Nuclear Black Hole Formation in Clumpy Galaxies at High Redshift
• A New Empirical Method to Infer the Starburst History of the Universe from Local Galaxy Properties
• Gravitational Lenses as High-Resolution Telescopes
• Comparing narrow and broad-line AGNs, in a new diagnostic diagram for emission-line galaxies based on WISE data
• On the non-evolution of the dependence of black hole masses on bolometric luminosities for QSOs