Critical properties and stability of stationary solutions in multi-transonic pseudo-Schwarzschild accretion

Details Critical properties and stability of stationary solutions in multi-transonic pseudo-Schwarzschild accretion Critical properties and stability of stationary solutions in multi-transonic pseudo-Schwarzschild accretion

2006-07-19

arxiv.org/abs/astro-ph/0607451v2

Mon.Not.Roy.Astron.Soc.373:146-156,2006

Astronomy and Astrophysics

Astrophysics

Final version to appear in MNRAS. 12 pages, one colour and 3 black and white figures

Scientific paper

10.1111/j.1365-2966.2006.11018.x

For inviscid, rotational accretion flows, both isothermal and polytropic, a simple dynamical systems analysis of the critical points has given a very accurate mathematical scheme to understand the nature of these points, for {\em any} pseudo-potential by which the flow may be driven on to a Schwarzschild black hole. This allows for a complete classification of the critical points for a wide range of flow parameters, and shows that the only possible critical points for this kind of flow are saddle points and centre-type points. A restrictive upper bound on the angular momentum of critical solutions has been established. A time-dependent perturbative study reveals that the form of the perturbation equation, for both isothermal and polytropic flows, is invariant under the choice of any particular pseudo-potential. Under generically true outer boundary conditions, the inviscid flow has been shown to be stable under an adiabatic and radially propagating perturbtion. The perturbation equation has also served the dual purpose of enabling an understanding of the acoustic geometry for inviscid and rotational flows.

Affiliated with

Also associated with

No associations

Rating

Critical properties and stability of stationary solutions in multi-transonic pseudo-Schwarzschild accretion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Critical properties and stability of stationary solutions in multi-transonic pseudo-Schwarzschild accretion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical properties and stability of stationary solutions in multi-transonic pseudo-Schwarzschild accretion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-79814