Probability Distribution of Primordial Angular Momentum and Formation of Massive Black Holes : Astrophysics and Relativity

概要

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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 find 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〜10^6-10~8M_⦿ in the universe. We find that it crucially depends on the reionization epoch z_<ion>. Specifically, for the standard CDM power spectrum with the COBE normalization, the condition z_<ion>≳500 must be satisfied to reproduce the observed number density of QSOs.
理論物理学刊行会の論文
1994-11-25