Critical properties of spherically symmetric black hole accretion in Schwarzschild geometry

Abstract

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.

arXiv comment8 pages, 4 figures, mn2e.cls used

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• Axially Symmetric Accretion of Fractal Medium onto Rotating Black Holes and the emergence of the Acoustic Manifold
• Implications of nonlinearity for spherically symmetric accretion
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• Astrophysical Accretion as an Analogue Gravity Phenomena
• Effect of matter geometry on low angular momentum black hole accretion in the Kerr metric
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• Dissipation and acoustic tunnelling about the sonic horizon of Bondi accretion
• Spherical accretion in the Schwarzschild spacetime in the Newtonian analogous construct
• Transonic behaviour and stability analysis of quasi-viscous black hole accretion
• Steady critical accretion onto black holes: selfgravity and sonic point characteristics
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