Local Stability of Strongly Magnetized Black Hole Tori

Abstract

We investigate the local stability of strongly magnetized relativistic tori orbiting Kerr black holes, for the case of a purely toroidal magnetic field topology. Our approach encompasses both solving the full dispersion relation numerically and solving a simplified analytic treatment. Both approaches indicate that such tori are subject to an unstable non-axisymmetric magnetorotational mode, regardless of such background properties as the gas-to-magnetic pressure ratio and specific angular momentum distribution. We demonstrate that our modal analysis matches well with what is seen in global, three-dimensional, general relativistic magnetohydrodynamic simulations.

9 pages, 11 figures, accepted in MNRAS

References in corpus (1)

• Magnetized Tori around Kerr Black Holes: Analytic Solutions with a Toroidal Magnetic Field

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