Journal Article

Is the flip-flop behaviour of accretion shock cones on to black holes an effect of coordinates?

A. Cruz-Osorio, F. D. Lora-Clavijo and F. S. Guzmán

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 426, issue 1, pages 732-738
Published in print October 2012 | ISSN: 0035-8711
Published online October 2012 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2012.21794.x
Is the flip-flop behaviour of accretion shock cones on to black holes an effect of coordinates?

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Abstract

We study numerically the relativistic Bondi–Hoyle accretion of an ideal gas on to a Kerr fixed background space–time on the equatorial plane with s-lab symmetry. We use both Kerr–Schild (KS) and Boyer–Lindquist (BL) coordinates. We particularly focus on the study of the flip-flop motion of the shock cone formed when the gas is injected at supersonic speed. The development of the flip-flop instability of the shock cone in the relativistic regime was reported recently for the first time. We reproduce the flip-flop behaviour found in the past when BL coordinates are used, and perform similar numerical experiments using horizon penetrating KS coordinates. We find that using KS coordinates the shock cone oscillates; however, such oscillations are not of the flip-flop type and their amplitude decreases with resolution.

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

Journal Article.  4614 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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