Critical properties of spherically symmetric black hole accretion in Schwarzschild geometry |
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| Authors: | Ipsita Mandal Arnab K Ray Tapas K Das |
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| Institution: | Harish Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211019, India;Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, Pune University Campus, Pune 411007, India |
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| Abstract: | The stationary, spherically symmetric, polytropic and inviscid 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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| Keywords: | accretion accretion discs black hole physics hydrodynamics |
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