Formation of supermassive black holes by direct collapse in pre-galactic haloes

We describe a mechanism by which supermassive black holes (SMBHs) can form directly in the nuclei of protogalaxies, without the need for 'seed' black holes left over from early star formation. Self-gravitating gas in dark matter haloes can lose angular momentum rapidly via runaway, global dynamical instabilities, the so-called 'bars within bars' mechanism. This leads to the rapid build-up of a dense, self-gravitating core supported by gas pressure - surrounded by a radiation pressure-dominated envelope - which gradually contracts and is compressed further by subsequent infall. We show that these conditions lead to such high temperatures in the central region that the gas cools catastrophically by thermal neutrino emission, leading to the formation and rapid growth of a central black hole. We estimate the initial mass and growth rate of the black hole for typical conditions in metal-free haloes with T vir ∼ 10 4 K, which are the most likely to be susceptible to runaway infall. The initial black hole should have a mass of?20 M ⊙ , but in principle could grow at a super-Eddington rate until it reaches ∼10 4 10 6 M ⊙ . Rapid growth may be limited by feedback from the accretion process and/or disruption of the mass supply by star formation or halo mergers. Even if super-Eddington growth stops at ∼10 3 -10 4 M ⊙ , this process would give black holes ample time to attain quasar-size masses by a redshift of 6, and could also provide the seeds for all SMBHs seen in the present Universe.

[1]  J. Shull,et al.  Critical Metallicity and Fine-Structure Emission of Primordial Gas Enriched by the First Stars , 2005, astro-ph/0509101.

[2]  M. Rees,et al.  Rapid Growth of High-Redshift Black Holes , 2005, astro-ph/0506040.

[3]  R. Wijers,et al.  The effect of neutrinos on the initial fireballs in gamma-ray bursts , 2005, astro-ph/0505533.

[4]  A. Myers,et al.  The 2dF-SDSS LRG and QSO (2SLAQ) survey: the z < 2.1 quasar luminosity function from 5645 quasars to g=21.85 , 2005, astro-ph/0504300.

[5]  L. Ho,et al.  Dwarf Seyfert 1 Nuclei and the Low-Mass End of the MBH-σ Relation , 2004, astro-ph/0412575.

[6]  Tucson,et al.  Rosseland and Planck mean opacities for primordial matter , 2004, astro-ph/0411613.

[7]  M. Rees,et al.  ApJ, in press Preprint typeset using L ATEX style emulateapj v. 04/03/99 THE DISTRIBUTION AND COSMIC EVOLUTION OF MASSIVE BLACK HOLE SPINS , 2004 .

[8]  I. Shlosman,et al.  Dynamical Decoupling of Nested Bars: Self-gravitating Gaseous Nuclear Bars , 2004, astro-ph/0410283.

[9]  Jaiyul Yoo,et al.  Formation of the Black Holes in the Highest Redshift Quasars , 2004, astro-ph/0406217.

[10]  J. Brinkmann,et al.  A Survey of z > 5.7 Quasars in the Sloan Digital Sky Survey. IV. Discovery of Seven Additional Quasars , 2004, astro-ph/0405138.

[11]  Z. Haiman.  Constraints from Gravitational Recoil on the Growth of Supermassive Black Holes at High Redshift , 2004, astro-ph/0404196.

[12]  A. Merloni.  The anti‐hierarchical growth of supermassive black holes , 2004, astro-ph/0402495.

[13]  R. Maiolino,et al.  Local supermassive black holes, relics of active galactic nuclei and the X-ray background , 2003, astro-ph/0311619.

[14]  A. University,et al.  Massive black hole seeds from low angular momentum material , 2003, astro-ph/0311487.

[15]  M. Rees,et al.  Early Reionization by Miniquasars , 2003, astro-ph/0310223.

[16]  S. Dutta,et al.  The photo-neutrino process in astrophysical systems , 2003, astro-ph/0309564.

[17]  Michael S. Warren,et al.  Cosmological Mestel Disks and the Rossby Vortex Instability: The Origin of Supermassive Black Holes , 2003, astro-ph/0310776.

[18]  R. Blandford,et al.  Two‐dimensional adiabatic flows on to a black hole – I. Fluid accretion , 2003, astro-ph/0306184.

[19]  A. Loeb,et al.  Formation of the First Supermassive Black Holes , 2002, astro-ph/0212400.

[20]  Piero Madau,et al.  The Assembly and Merging History of Supermassive Black Holes in Hierarchical Models of Galaxy Formation , 2002, astro-ph/0207276.

[21]  D. Richstone,et al.  The Cosmic Density of Massive Black Holes from Galaxy Velocity Dispersions , 2002, astro-ph/0210573.

[22]  S. Tremaine,et al.  Observational constraints on growth of massive black holes , 2002, astro-ph/0203082.

[23]  R. Croft,et al.  The Angular Momentum of Gas in Protogalaxies. I. Implications for the Formation of Disk Galaxies , 2002, astro-ph/0201095.

[24]  G. Zamorani,et al.  Most Supermassive Black Holes Must Be Rapidly Rotating , 2001, astro-ph/0112413.

[25]  Z. Haiman,et al.  Second-Generation Objects in the Universe: Radiative Cooling and Collapse of Halos with Virial Temperatures above 104 K , 2001, astro-ph/0108071.

[26]  R. Wechsler,et al.  The Origin of Angular Momentum in Dark Matter Halos , 2001, astro-ph/0105349.

[27]  P. Coppi,et al.  The Formation of the First Stars. I. The Primordial Star-forming Cloud , 2001, astro-ph/0102503.

[28]  T. Piran,et al.  Accretion Models of Gamma-Ray Bursts , 2001, astro-ph/0103360.

[29]  Charles F. Gammie,et al.  Nonlinear Outcome of Gravitational Instability in Cooling, Gaseous Disks , 2001, astro-ph/0101501.

[30]  G. Bryan,et al.  Simulations of Pregalactic Structure Formation with Radiative Feedback , 2000, astro-ph/0007198.

[31]  A. Dekel,et al.  A Universal Angular Momentum Profile for Galactic Halos , 2000, astro-ph/0011001.

[32]  R. Narayan,et al.  Self-similar Accretion Flows with Convection , 1999, astro-ph/9912449.

[33]  E. Quataert,et al.  Convection-dominated Accretion Flows , 1999, astro-ph/9912440.

[34]  H. Bethe,et al.  Hypercritical Advection-dominated Accretion Flow , 1999, astro-ph/9909132.

[35]  M. Rees,et al.  The Radiative Feedback of the First Cosmological Objects , 1999, astro-ph/9903336.

[36]  Bromm,et al.  Forming the First Stars in the Universe: The Fragmentation of Primordial Gas. , 1999, The Astrophysical journal.

[37]  A. Fabian,et al.  The mass density in black holes inferred from the X-ray background , 1999, astro-ph/9901121.

[38]  Ravi K. Sheth Giuseppe Tormen.  Large scale bias and the peak background split , 1999, astro-ph/9901122.

[39]  G. Bryan,et al.  The Formation and Fragmentation of Primordial Molecular Clouds , 1998, astro-ph/9810215.

[40]  Roger D. Blandford,et al.  On the fate of gas accreting at a low rate on to a black hole , 1998, astro-ph/9809083.

[41]  Chris L. Fryer,et al.  Hyperaccreting Black Holes and Gamma-Ray Bursts , 1998, astro-ph/9807028.

[42]  R. Larson.  Early star formation and the evolution of the stellar initial mass function in galaxies , 1998, astro-ph/9808145.

[43]  K. Saigo,et al.  Similarity Solution for Formation of a Circumstellar Disk through the Collapse of a Flattened Rotating Cloud , 1998 .

[44]  Chris L. Fryer,et al.  HYPER-ACCRETING BLACK HOLES AND GAMMA - , 1998 .

[45]  S. White,et al.  The formation of galactic discs , 1997, astro-ph/9707093.

[46]  S. Mineshige,et al.  Self-similar Collapse of a Self-gravitating Viscous Disk , 1997, astro-ph/9701189.

[47]  S. White,et al.  A Universal Density Profile from Hierarchical Clustering , 1996, astro-ph/9611107.

[48]  Max Tegmark,et al.  How Small Were the First Cosmological Objects? , 1996, astro-ph/9603007.

[49]  S. Woosley,et al.  Nucleosynthesis in Neutrino-Driven Winds. I. The Physical Conditions , 1996, astro-ph/9611094.

[50]  R. Chevalier.  Neutrino-cooled Accretion: Rotation and Stellar Equation of State , 1996 .

[51]  S. Cole,et al.  The structure of dark matter haloes in hierarchical clustering models , 1995, astro-ph/9510147.

[52]  I. Shlosman,et al.  A New Criterion for Bar-Forming Instability in Rapidly Rotating Gaseous and Stellar Systems. I. Axisymmetric Form , 1994, astro-ph/9411031.

[53]  D. Eisenstein,et al.  Origin of quasar progenitors from the collapse of low spin cosmological perturbations , 1994, astro-ph/9401016.

[54]  A. Loeb,et al.  Collapse of primordial gas clouds and the formation of quasar black holes , 1994, astro-ph/9401026.

[55]  M. Rees,et al.  The formation of nuclei in newly formed galaxies and the evolution of the quasar population , 1993 .

[56]  R. Chevalier.  Neutron Star Accretion in a Stellar Envelope , 1993 .

[57]  E. Turner,et al.  Early cosmic formation of massive black holes , 1993, astro-ph/9303004.

[58]  S. Woosley.  Gamma-ray bursts from stellar mass accretion disks around black holes , 1993 .

[59]  Michael S. Warren,et al.  Dark halos formed via dissipationless collapse. I: Shapes and alignment of angular momentum , 1992 .

[60]  T. Piran,et al.  Gamma-ray bursts as the death throes of massive binary stars , 1992, astro-ph/9204001.

[61]  R. Chevalier,et al.  Steady spherical hypercritical accretion onto neutron stars , 1991 .

[62]  M. Begelman,et al.  The fuelling of active galactic nuclei , 1990, Nature.

[63]  R. Chevalier.  Neutron Star Accretion in a Supernova , 1989 .

[64]  N. Itoh,et al.  Neutrino energy loss in stellar interiors. III. Pair, photo-, plasma, and bremsstrahlung processes , 1989 .

[65]  M. Begelman,et al.  Bars within bars: a mechanism for fuelling active galactic nuclei , 1989, Nature.

[66]  J. R. Bond,et al.  Cosmological consequences of population III stars , 1984 .

[67]  Andrzej Soƚtan,et al.  Masses of quasars , 1982 .

[68]  G. Efstathiou,et al.  The stability and masses of disc galaxies. , 1982 .

[69]  S. M. Fall,et al.  Formation and rotation of disc galaxies with haloes , 1980 .

[70]  F. Shu.  Self-similar collapse of isothermal spheres and star formation. , 1977 .

[71]  P. Peebles,et al.  A Numerical Study of the Stability of Flattened Galaxies: or, can Cold Galaxies Survive? , 1973 .

[72]  S. Colgate.  Neutron-Star Formation, Thermonuclear Supernovae, and Heavy-Element Reimplosion , 1971 .

[73]  Richard B. Larson,et al.  Numerical Calculations of the Dynamics of a Collapsing Proto-Star , 1969 .

[74]  M. Penston.  Dynamics of Self-Gravitating Gaseous Spheres—III: Analytical Results in the Free-fall of Isothermal Cases , 1969 .

[75]  A. Toomre,et al.  On the gravitational stability of a disk of stars , 1964 .

[76]  L. Mestel.  On the galactic law of rotation , 1963 .

[77]  H. Bondi,et al.  On spherically symmetrical accretion , 1952 .