Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-03-13
IndianJ.Phys.80:1123,2006
Astronomy and Astrophysics
Astrophysics
13 pages, 7 figures, REVTeX. This article is an invited contribution to a special issue of the Indian Journal of Physics, dedi
Scientific paper
Transonicity in a spherically symmetric accreting system has been considered in both the stationary and the dynamic regimes. The stationary flow, set up as a dynamical system, has been shown to be greatly unstable to even the minutest possible deviation in the boundary condition for transonicity. With the help of a simple analytical model, and some numerical modelling, it has then been argued that the flow indeed becomes transonic and stable, when the evolution of the flow is followed through time. The time-dependent approach also shows that there is a remarkable closeness between an equation of motion for a perturbation in the flow, and the metric of an analog acoustic black hole.
Bhattacharjee Jayanta K.
Ray Arnab K.
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