Critical properties of spherically symmetric black hole accretion in Schwarzschild geometry

Details Critical properties of spherically symmetric black hole accretion in Schwarzschild geometry Critical properties of spherically symmetric black hole accretion in Schwarzschild geometry

2007-02-28

arxiv.org/abs/astro-ph/0702733v1

Mon.Not.Roy.Astron.Soc.378:1400-1406,2007

Astronomy and Astrophysics

Astrophysics

8 pages, 4 figures, mn2e.cls used

Scientific paper

10.1111/j.1365-2966.2007.11898.x

The stationary spherically symmetric accretion flow in the Schwarzschild metric has been set up as an autonomous first-order dynamical system, and it has been studied completely analytically. Of the three possible critical points in the flow, the one that is physically realistic behaves like the saddle point of the standard Bondi accretion problem. One of the two remaining critical points exhibits the strange mathematical behaviour of being either a saddle point or a centre-type point, depending on the values of the flow parameters. The third critical point is always unphysical and behaves like a centre-type point. The treatment has been extended to pseudo-Schwarzschild flows for comparison with the general relativistic analysis.

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