Axisymmetric black hole accretion in the Kerr metric as an autonomous dynamical system

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dc.creatorGoswami, Sanghamitra
dc.creatorKhan, Saba Nashreen
dc.creatorRay, Arnab K.
dc.creatorDas, Tapas Kumar
dc.date2007-03-07
dc.date.accessioned2026-07-07T11:01:01Z
dc.date.available2026-07-07T11:01:01Z
dc.descriptionIn 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.
dc.description12 pages, 10 figures, mn2e.cls used
dc.identifierhttps://arxiv.org/abs/astro-ph/0703162
dc.identifierhttp://arxiv.org/abs/astro-ph/0703162
dc.identifierMon.Not.Roy.Astron.Soc.378:1407-1417,2007
dc.identifierdoi:10.1111/j.1365-2966.2007.11869.x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187834
dc.subjectAstrophysics
dc.titleAxisymmetric black hole accretion in the Kerr metric as an autonomous dynamical system
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