Model for the M bh − σ Relation for Supermassive Black Holes in Galaxies
نویسندگان
چکیده
We construct a model for the formation of black holes within galactic bulges. The initial state is a slowly rotating isothermal sphere, characterized by effective transport speed aeff and rotation rate Ω. The black hole mass is determined when the centrifugal radius of the collapse flow exceeds the capture radius of the central black hole. This model reproduces the observed correlation between black hole masses and galactic velocity dispersions, Mbh ≈ 10M⊙(σ/200 km s)4, where σ = √ 2aeff . This model also predicts the ratio μB of black hole mass to host mass: μB ≈ 0.004 (σ/200 km s). Subject headings: black hole physics – galaxies: nuclei – galaxies: dynamics
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