Low angular momentum accretion of fractal medium on to Kerr black holes and the emergence of the acoustic manifold

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Research Article

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Monthly Notices of the Royal Astronomical Society


For certain types of geometric configuration of matter suitable for describing low angular momentum practically inviscid, multitransonic, axially symmetric flow of matter, having fractional dimension of mass distribution, accretion process on to rotating astrophysical black holes has been studied by employing post-Newtonian pseudo-Kerr black hole potential. Such task has been accomplished by mapping the fractal nature of accreted medium on to its continuum counterpart. The difference between the spin dependence of accretion dynamics of the fractal medium and that of the continuous medium has been highlighted. By employing a time-dependent linear perturbation scheme, it has been demonstrated that accretion of matter with fractional dimension of density distribution can be considered as a natural example of classical analogue model. The corresponding acoustic surface gravity has been estimated in terms of accretion variables, the fractal dimension ofmatter distribution, and the spin parameter of the black hole. The value of the surface gravity changes as the accreted matter makes a transition from its fractal nature to the corresponding continuum distribution.We thus address the problem from astrophysical point of view as well as from the perspective of the dynamical systems study and the analogue gravity phenomena. Such exhaustive treatment of a potentially new field i.e. a spinning black hole accreting fractal matter has not been presented in literature yet.

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