Black Hole Formation & Dynamo in Rossby Vortex Disks

Astronomy and Astrophysics – Astrophysics

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Scientific paper

The central galactic black hole, BH, mass is predicted from the mass and angular momentum, λ_cloud ~= 0.07, prior to collapse of a Lyman-α cloud. Semi-spherical shape, initial uniform rotation, Keperian support, and local conservation of angular momentum, ensures a near flat rotation curve (FRC), M_interior ∝ R as observed. Rapid collapse, ~ 10^7 years before most star formation, leads to a disk, primarily of gas whose mass thickness, Σ_FRC ∝ 1/R. At small radii, R ~ 10 pc, the mass thickness exceeds the condition for the formation of the Rossby vortex instability, (RVI), Σ_FRC ~ 100 g cm-2. The RVI allows angular momentum to be transported, and so the interior mass, M_interior ~= 10^8 M_solar, nearly all collapses as an accretion disk to a BH. Then σ_velocity ∝ M_BH^4. The transport length of a Rossby vortex in an RVI disk is ~ R compared to the height, ~ H in a diffusive, Shakura- Sunyaev disk so that self gravitating excessive disk mass does not occur. A dynamo forms naturally within this disk inside radii, ~ 0.01 pc where the gas becomes ionized and where the helicity is created from star disk collisions. Saturation of the dynamo at the back reaction limit ensures that a significant fraction of the formation energy can be transformed into magnetic energy. A small fraction of this energy, ~ 10-4, deposited outside the disk may form the galactic bulge.

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