Probability Distribution of Primordial Angular Momentum and Formation of Massive Black Holes

نویسندگان

  • Hajime SUSA
  • Misao SASAKI
  • Takahiro TANAKA
چکیده

This figure "fig2-1.png" is available in "png"" format from: This figure "fig3-1.png" is available in "png"" format from: This figure "fig4-1.png" is available in "png"" format from: This figure "fig5-1.png" is available in "png"" format from: This figure "fig6-1.png" is available in "png"" format from: ABSTRACT We consider the joint probability distribution function for the mass contrast and angular momentum of over-density regions on the protogalactic scale and investigate the formation of massive black holes at redshift z > 10. We estimate the growth rate of the angular momentum by the linear perturbation theory and the decay rate by the Compton drag and apply the Press-Schechter theory to obtain the formation rate of massive black holes, assuming the full reionization of the universe at z = z ion 10. We nd the correlation between the mass contrast and angular momentum vanishes in the linear theory. However, application of the Press-Schechter theory introduces a correlation between the mass contrast and angular momentum of bound objects. Using thus obtained probability distribution, we calculate the mass fraction of black holes with M 10 6 10 8 M in the universe. We nd that it crucially depends on the reionization epoch z ion. Speciically, for the standard CDM power spectrum with the COBE normalization, the condition z ion > 500 must be satissed to reproduce the observed number density of QSOs.

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تاریخ انتشار 2008