Standing shocks in the rotating winds and accretion in Kerr spacetime

Statistics – Computation

Scientific paper

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Rankine-Hugoniot Relation, Rotating Fluids, Shock Waves, Stellar Mass Accretion, Black Holes (Astronomy), Computational Astrophysics, Space-Time Functions, Standing Waves

Scientific paper

This paper presents the analytic theory of the Rankine-Hugoniot shocks in the rotating winds and accretion in Kerr geometry. The effects of coupling of the orbital angular momentum of the flow and the Kerr parameters are shown. In general, for a given energy, a retrograde flow which includes a shock requires higher angular momentum than a prograde flow, and the locations of the critical points as well as the shocks are farther away from the black hole. For a given initial flow parameters such as the specific angular momentum and the energy, it is observed that as many as four formal shock locations are present, out of which two can be ruled out by employing the boundary conditions. It is conjectured that, in a sufficiently dissipative flow, such ambiguity in shock locations would disappear.

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