Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-03-07
Mon.Not.Roy.Astron.Soc.378:1407-1417,2007
Astronomy and Astrophysics
Astrophysics
12 pages, 10 figures, mn2e.cls used
Scientific paper
10.1111/j.1365-2966.2007.11869.x
In a stationary, general relativistic, axisymmetric, inviscid and rotational accretion flow, described within the Kerr geometric framework, transonicity has been examined by setting up the governing equations of the flow as a first-order autonomous dynamical system. The consequent linearised analysis of the critical points of the flow leads to a comprehensive mathematical prescription for classifying these points, showing that the only possibilities are saddle points and centre-type points for all ranges of values of the fixed flow parameters. The spin parameter of the black hole influences the multitransonic character of the flow, as well as some of its specific critical properties. The special case of a flow in the space-time of a non-rotating black hole, characterised by the Schwarzschild metric, has also been studied for comparison and the conclusions are compatible with what has been seen for the Kerr geometric case.
Das Tapas Kumar
Goswami Sanghamitra
Khan Saba Nashreen
Ray Arnab K.
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