Physics
Scientific paper
Apr 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001aps..aprb14002c&link_type=abstract
American Physical Society, April Meeting, April 28 - May 1, 2001 Washington, DC Bulletin of the American Physical Society, Vol.
Physics
Scientific paper
The central galactic black hole, BH, mass is predicted from the collapse of an initial Lyman-α cloud. Damped Lyman-α clouds are the first large scale, (R_Lyman_α ~= 300 kpc, M_Lyman_α ~= 10^11 M_solar, and Σ_Baryonic ~= 10-4 g cm-2) structures. The rotation velocity of the combined dark and baryonic matter compared to that required for Keplerian support is small, λ ~= .07. The baryonic matter collapses homologously by shocks and cooling with conserved angular momentum. Upon reaching a radius of partial Keplerian support where the Mclauren spheroid instability, λ_spheroid ~= 0.4 is initiated then tidal torquing produces the "flat rotation curve" (FRC). This occurs when R_spheroid/R_cloud ~= (λ_cloud/ λ_spheroid)^2 , and where the mass thickness Σ_spheroid ~= Σ_Lyman_α (R_spheroid/R_cloud)^2 ~= Σ_Lyman-α (λ_cloud/ λ_spheroid)^4 ~= 0.1 g cm-2. The interior baryonic mass following the FRC condition then becomes M_flat = M_spheroid (R/R_spheroid) and Σ_flat = Σ_spheroid (R_spheroid/R). Thus as the FRC forms, the mass thickness increases as ∝ 1/R. At a critical thickness Σ_Rossby ~= 100 g cm-2, the Rossby vortex instability forms because of the confinement of heat. All of the mass of the resulting accretion disk collapses to a BH where M_BH = M_spheroid (Σ_spheroid/Σ_Rossby) = M_Lyman_α (λ_cloud/ λ_spheroid)^4 (Σ_Lyman_α/ Σ_Rossby) ~= 10^8 M_solar.
Colgate Stirling
Li Hui
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