The natural angular momentum distribution in the study of thick disks around black holes

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Abstract
The thick disk model is reviewed with an angular momentum distribution chosen to have a power law relation with the von Zeipel parameter λ = (l/Ω)1/2, where l denotes the specific angular momentum and Ω denotes the angular velocity. This choice enables the author to integrate the relativistic Euler equation independent of the background geometry. The consequences with regard to the Schwarzschild and Kerr black hole geometries are briefly investigated.

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