Journal Article

Critical properties of spherically symmetric black hole accretion in Schwarzschild geometry

Ipsita Mandal, Arnab K. Ray and Tapas K. Das

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 378, issue 4, pages 1400-1406
Published in print July 2007 | ISSN: 0035-8711
Published online June 2007 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2007.11898.x
Critical properties of spherically symmetric black hole accretion in Schwarzschild geometry

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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.

Keywords: accretion, accretion discs; black hole physics; hydrodynamics

Journal Article.  5657 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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