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Stability of slim accretion discs - effects of central mass and viscosity

Slim accretion discs have a total luminosity of the order L/L E = m1 ∼ 1, where L E is the Eddington luminosity and m1 = (dM/dt)/(dM c /dt), where dM c /dt is a critical accretion rate, related to the Eddington one. The local stability properties of such discs are examined, in the three-dimensional parameter space spanned by the (α, μ, m) axes, where α and μ are two viscosity parameters and m = M/M ⊙ the central mass. It is suggested that various types are observed quasi-periodic behaviour may be connected with slim disc instabilities