The runaway instability of self-gravitating tori with non-constant specific angular momentum around black holes

Details The runaway instability of self-gravitating tori with non-constant specific angular momentum around black holes The runaway instability of self-gravitating tori with non-constant specific angular momentum around black holes

Jul 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998mnras.297.1139m&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 297, Issue 4, pp. 1139-1144.

Physics

16

Accretion, Accretion Discs, Black Hole Physics, Instabilities

Scientific paper

We discuss the runaway instability of axisymmetric tori with non-constant specific angular momentum around black holes, taking into account self-gravity of the tori. The distribution of specific angular momentum of the tori is assumed to be a positive power law with respect to the distance from the rotational axis. By employing the pseudo-Newtonian potential for the gravity of the spherical black hole, we have found that self-gravity of the tori causes a runaway instability if the amount of the mass which is transferred from the torus to the black hole exceeds a critical value, i.e. 3 per cent of the mass of the torus. This has been shown by two different approaches: (1) by using equilibrium models and (2) by dynamical simulations. In particular, dynamical simulations using an SPH code have been carried out for both self-gravitating and non-self-gravitating tori. For non-self-gravitating models, all tori are runaway stable. Therefore we come to the conclusion that self-gravity of the tori has a stronger destabilizing effect than the stabilizing effect of the positive power-law distribution of the angular momentum.

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