Linearized perturbation on stationary inflow solutions in an inviscid and thin accretion disc

Author: Ray A.K.

Source: Monthly Notices of the Royal Astronomical Society, Volume 344, Number 1, September 2003 , pp. 83-88(6)

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Abstract:

The influence of a linearized perturbation on stationary inflow solutions in an inviscid and thin accretion disc has been studied here, and it has been argued that a perturbative technique would indicate that all possible classes of inflow solutions would be stable. The choice of the driving potential, Newtonian or pseudo-Newtonian, would not particularly affect the arguments which establish the stability of solutions. It has then been surmised that in the matter of the selection of a particular solution, adoption of a non-perturbative technique, based on a more physical criterion, as in the case of the selection of the transonic solution in spherically symmetric accretion, would give a more conclusive indication concerning the choice of a particular branch of the flow.

Keywords: accretion, accretion discs; black hole physics; hydrodynamics; methods: analytical

Document Type: Research article

DOI: http://dx.doi.org/10.1046/j.1365-8711.2003.06796.x

Publication date: 2003-09-01