Studies of accretion flows around rotating black holes – II. Standing shocks in the pseudo-Kerr geometry |
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Authors: | Soumen Mondal Sandip K Chakrabarti |
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Institution: | S.N. Bose National Centre for Basic Sciences, JD Block, Salt Lake, Sector-III, Kolkata 700098, India;Centre for Space Physics, Chalantika 43, Garia Station Road, Kolkata 700084, India |
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Abstract: | Standing, propagating or oscillating shock waves are common in accretion and winds around compact objects. We study the topology of all possible solutions using the pseudo-Kerr geometry. We present the parameter space spanned by the specific energy and angular momentum and compare it with that obtained from the full general relativity to show that the potential can work satisfactorily in fluid dynamics also, provided the polytropic index is suitably modified. We then divide the parameter space depending on the nature of the solution topology. We specifically study the nature of the standing Rankine–Hugoniot shocks. We also show that as the Kerr parameter is increased, the shock location generally moves closer to the black hole. In future, these solutions can be used as guidelines to test numerical simulations around compact objects. |
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Keywords: | accretion accretion discs black hole physics shock waves ISM: jets and outflows |
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