Black hole mass and spin estimates of the most distant quasars

Abstract

We investigate the properties of the most distant quasars ULASJ134208.10+092838.61 ($z=7.54$), ULASJ112001.48+064124.3 ($z=7.08$) and DELSJ003836.10-152723.6 ($z=7.02$) studying their Optical-UV emission that shows clear evidence of the presence of an accretion disk. We model such emission applying the relativistic disk models KERRBB and SLIMBH for which we have derived some analytical approximations to describe the observed emission as a function of the black hole mass, accretion rate, spin and the viewing angle. We found that: 1] our black hole mass estimates are compatible with the ones found using the virial argument but with a smaller uncertainty; 2] assuming that the virial argument is a reliable method to have a black hole mass measurement (with no systematic uncertainties involved), we found an upper limit for the black hole spin of the three sources: very high spin values are ruled out; 3] our Eddington ratio estimates are smaller than those found in previous studies by a factor $\sim 2$: all sources are found to be sub-Eddington. Using our results, we explore the parameter space (efficiency, accretion rate) to describe the possible evolution of the black hole assuming a $\sim 10^{2-4}{M}_{\odot }$ seed: if the black hole in these sources formed at redshift $z=10-20$, we found that the accretion has to proceed at the Eddington rate with a radiative efficiency $\eta \sim 0.1$ in order to reach the observed masses in less than $\sim 0.7$ Gyr.

arXiv comment11 pages, 5 figures, 3 tables, accepted for publication in A&A

References in corpus (62)

• Planck 2015 results. XIII. Cosmological parameters
• Composite Quasar Spectra From the Sloan Digital Sky Survey
• A Catalog of Quasar Properties from SDSS DR7
• A luminous quasar at a redshift of z = 7.085
• Spectral Energy Distributions and Multiwavelength Selection of Type 1 Quasars
• An 800-million-solar-mass black hole in a significantly neutral Universe at redshift 7.5
• The Assembly and Merging History of Supermassive Black Holes in Hierarchical Models of Galaxy Formation
• A Survey of z>5.8 Quasars in the Sloan Digital Sky Survey I: Discovery of Three New Quasars and the Spatial Density of Luminous Quasars at z~6
• Formation of Supermassive Black Holes
• The Spin of the Near-Extreme Kerr Black Hole GRS 1915+105
• An Empirical Ultraviolet Template for Iron Emission in Quasars as Derived from I Zw 1
• What Drives the Growth of Black Holes?
• Piecing Together the X-ray Background: Bolometric Corrections for Active Galactic Nuclei
• Advection-Dominated Accretion and the Black Hole Event Horizon
• Multi-Temperature Blackbody Spectrum of a Thin Accretion Disk around a Kerr Black Hole: Model Computations and Comparison with Observations
• Measuring the black hole masses of high redshift quasars
• Mass Functions of the Active Black Holes in Distant Quasars from the Large Bright Quasar Survey, the Bright Quasar Survey, and the Color-Selected Sample of the SDSS Fall Equatorial Stripe
• The AGN Black Hole Mass Database
• Rapid growth of high redshift black holes
• Eddington-limited accretion and the black hole mass function at redshift 6
• Binary Mergers and Growth of Black Holes in Dense Star Clusters
• Formation of z ~ 6 quasars from hierarchical galaxy mergers
• Massive black hole seeds from low angular momentum material
• The Assembly of Supermassive Black Holes at High Redshifts
• What is the Highest Plausible Redshift of Luminous Quasars?
• A 3x10^9 solar mass black hole in the quasar SDSS J1148+5251 at z=6.41
• Super-Critical Growth of Massive Black Holes from Stellar-Mass Seeds
• Fe II Emission in 14 Low-Redshift Quasars: I - Observations
• Dusty Structure Around Type-I Active Galactic Nuclei: Clumpy Torus Narrow Line Region and Near-Nucleus Hot Dust
• The dusty heart of nearby active galaxies -- II. From clumpy torus models to physical properties of dust around AGN
• Black hole mass estimates and emission-line properties of a sample of redshift z>6.5 quasars
• Journey to the M_BH -sigma relation: the fate of low mass black holes in the Universe
• Black hole mass estimate for a sample of radio-loud narrow-line Seyfert 1 galaxies
• Slim disks around Kerr black holes revisited
• Iron Emission in the z=6.4 Quasar SDSS J114816.64+525150.3
• Fermi/LAT broad emission line blazars
• Constraints from Gravitational Recoil on the Growth of Supermassive Black Holes at High Redshift
• Non-LTE Models and Theoretical Spectra of Accretion Disks in Active Galactic Nuclei. III. Integrated Spectra for Hydrogen-Helium Disks
• On the orientation and magnitude of the black hole spin in galactic nuclei
• Relativistic slim disks with vertical structure
• The Discovery of A Luminous Broad Absorption Line Quasar at A Redshift of 7.02
• How rapidly do supermassive black hole "seeds" grow at early times?
• The effect of nuclear gas distribution on the mass determination of supermassive black holes
• The Coevolution of Supermassive Black Holes and Massive Galaxies at High Redshift
• The compact, ~1 kpc host galaxy of a quasar at z=7.1
• Active galactic nuclei at z ~ 1.5: I. Spectral energy distribution and accretion discs
• The UV Continuum of Quasars: Models and SDSS Spectral Slopes
• Formation of the Black Holes in the Highest Redshift Quasars
• Cold Accretion Disks and Lineless Quasars
• Extinction due to amorphous carbon grains in red quasars from the SDSS
• Active galactic nuclei at z ~ 1.5: III. Accretion discs and black hole spin
• Super- and sub-Eddington accreting massive black holes: A comparison of slim and thin accretion discs through study of the spectral energy distribution
• Eddington limit and radiative transfer in highly inhomogeneous atmospheres
• Accretion, Growth of Supermassive Black Holes, and Feedback in Galaxy Mergers
• Blazar candidates beyond redshift 4 observed with GROND
• How to constrain mass and spin of supermassive black holes through their disk emission
• Extremes of the jet-accretion power relation of blazars, as explored by NuSTAR
• Black-hole mass estimates for a homogeneous sample of bright flat-spectrum radio quasars
• The Highest Redshift Quasar at $z=7.085$: A Radio Quiet Source
• The effect of advection at luminosities close to Eddington: The ULX in M31
• Vertical dissipation profiles and the photosphere location in thin and slim accretion disks
• AGN torus emission for a homogeneous sample of bright FSRQs

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