The stability of radiation-pressure-dominated accretion discs

Astronomy and Astrophysics – Astronomy

Scientific paper

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Accretion Disks, Black Holes (Astronomy), Polytropic Processes, Radiation Pressure, Stability, Equations Of State, Optical Thickness, Time Dependence

Scientific paper

The stability of thin accretion discs against axisymmetric perturbations is analyzed for polytropic equations of state. The authors derive a general dispersion relation as a function of the polytropic index N and the ratio between the radiation pressure and the total pressure in the disc. As in the case of constant density models, standard alpha-discs are found to be unstable when radiation pressure dominates. Models based on a magnetic viscosity are, however, always stable against axisymmetric perturbations.

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