RMxAA

Revista Mexicana de Astronomía y Astrofísica

ISSN: 3061-8649
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Keywords

accretion
accretion disks
hydrodynamics
relativity
General Relativity and Quantum Cosmology
Astrophysics

How to Cite

A simple accretion model of a rotating gas sphere onto a Schwarzschild black hole. (2007). Revista Mexicana De Astronomía Y Astrofísica, 43(1), 191-202. https://astronomia.unam.mx/journals/rmxaa/article/view/2007rmxaa..43..191h

Abstract

We construct a simple accretion model of a rotating gas sphere onto a Schwarzschild black hole. We show how to build analytic solutions in terms of Jacobi elliptic functions. This construction represents a general relativistic generalisation of the Newtonian accretion model first proposed by Ulrich (1976). In exactly the same form as it occurs for the Newtonian case, the flow naturally predicts the existence of an equatorial rotating accretion disc about the hole. However, the radius of the disc increases monotonically without limit as the flow reaches its minimum allowed angular momentum for this particular model.
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