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

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 about the choice of a particular branch of the flow.

7 pages. Includes an additional treatment on the perturbation as a travelling wave. Minor alterations have been made in the version published in MNRAS. Some typos in equations have been corrected

References in corpus (1)

• Realizability of stationary spherically symmetric transonic accretion

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