A simple accretion model of a rotating gas sphere onto a Schwarzschild black hole

Details A simple accretion model of a rotating gas sphere onto a Schwarzschild black hole A simple accretion model of a rotating gas sphere onto a Schwarzschild black hole

2006-03-12

arxiv.org/abs/gr-qc/0603039v2

Rev.Mex.Astron.Astrofis.43:191-202,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 5 figures. Accepted for publication in RMA&A

Scientific paper

We construct a simple accretion model of a rotating pressureless 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 maximum allowed angular momentum.

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