Abstract
This paper is devoted to the study of sonic points and shocks in stationary, axially symmetric, isothermal flows around a Kerr black hole. We first show the dependence of the location of the sonic point with the flow's angular momentum for different isothermal sound speeds. With our selected shock jump conditions, we then discuss the properties of the shock, including the location and the strength. The ambiguity regarding the shock locations is removed by stability analysis. We also find some differences between the shock in isothermal flows and that in adiabatic flows. Subject headings: accretion, accretion disks-black hole physics-hydrodynamics-relativity-shock waves.
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