Model dependence of the multi-transonic behaviour,stability properties and the corresponding acoustic geometry for accretion onto rotating black holes |
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| Institution: | 1. Sarojini Naidu College for Women, Kolkata 700028, India;2. Camellia Institute of Engineering, Kolkata 700129, India;3. St. Xavier’s College (Autonomous), Kolkata 700016, India;4. Harish Chandra Research Institute, Allahabad 211019, India;1. Division of Computational Physics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;2. Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;1. NASRDA-Centre for Basic Space Science, Nsukka, Enugu State, Nigeria 410001, Nsukka, Nigeria;2. Department of Physics and Astronomy, University of Nigeria, Nsukka, Enugu State, Nigeria 410001, Nsukka, Nigeria;1. Theory Group, Department of Physics and Texas Cosmology Center, The University of Texas at Austin, TX 78712, USA;2. Department of Physics and Astronomy, Johns Hopkins University, Baltimore, MD 21218, USA;1. Division of Theoretical Astronomy, National Astronomical Observatory of Japan,2-21-1 Osawa, Mitaka, Tokyo 181-8588, Japan;2. Department of Natural Science, Kochi University, 2-5-1 Akebono-cho, Kochi 780-8520, Japan;3. Department of Human Informatics, Aichi Shukutoku University, 2-9 Katahira, Nagakute, Aichi 480-1197, Japan;1. Physics Department, University of Rijeka, Radmile Matejčić, 51000 Rijeka, Croatia;2. INAF Astronomical Observatory of Padova, via dell’Osservatorio 8, Asiago (VI) 36012, Italy |
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| Abstract: | Stationary, multi-transonic, integral solutions of hydrodynamic axisymmetric accretion onto a rotating black hole have been compared for different geometrical configurations of the associated accretion disc structures described using the polytropic as well as the isothermal equations of state. Such analysis is performed for accretion under the influence of generalised post Newtonian pseudo Kerr black hole potential. The variations of the stationary shock characteristics with black hole spin have been studied in details for all the disc models and are compared for the flow characterised by the two aforementioned equations of state. Using a novel linear perturbation technique it has been demonstrated that the aforementioned stationary solutions are stable, at least upto an astrophysically relevant time scale. It has been demonstrated that the emergence of the horizon related gravity like phenomena (the analogue gravity effects) is a natural consequence of such stability analysis, and the corresponding acoustic geometry embedded within the transonic accretion can be constructed for the propagation of the linear acoustic perturbation of the mass accretion rate. The analytical expression for the associated sonic surface gravity κ has been obtained self consistently. The variations of κ with the black hole spin parameter for all different geometric configurations of matter and for various thermodynamic equations of state have been demonstrated. |
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