Stability properties of an isothermal accretion disk

Astronomy and Astrophysics – Astronomy

Scientific paper

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Accretion Disks, Black Holes (Astronomy), Isothermal Processes, Time Dependence, Astrodynamics, Dynamic Stability, Perturbation Theory

Scientific paper

A local stability analyisis of an isothermal, transonic accretion disk around a nonrotating black hole is used to infer the time-dependent behavior of linear perturbations. The three modes in the problem are one viscous Lightman-Eardley mode, which is always stable, and two acoustic modes, which are always overstable. If the growth rate is required to be greater than the escape rate, then the acoustic modes become stable in the outer region, and unstable in the innermost region, if the viscosity parameter alpha is greater than 0.5.

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