Standing Rankine-Hugoniot shocks in the hybrid model flows of the black hole accretion and winds

This paper presents all the Rankine-Hugoniot shock solutions for the stationary, axially symmetric and rotating adiabatic flows of small transverse thickness in the black hole potential. The recently proposed hybrid model is used to treat the flows which include shocks. It is shown that, for given initial and final states of the flow, there can be as many as four formal shock locations in both the accretion and the winds. Only two (three) of these locations are acceptable for accretion onto black holes (neutron stars), and three of these locations are acceptable for winds. It is shown that the question of the multiplicity of the shocks cannot be resolved by local stability analysis of the shocks. In addition, the properties of the isentropic compression waves and the isothermal shocks are briefly studied.