Abstract We investigate axially symmetric accretion of low-angular-momentum hydrodynamic matter onto a rotating black hole. The gravitational field under consideration is assumed to be described by the pseudo-Newtonian Kerr potential proposed by Artemova et al. (ApJ 461:565, https://doi.org/10.1086/177084 , 1996). A relativistic equation of state that incorporates information about different species is used in this work. Our aim is to construct and solve the hydrodynamical conservation equations governing such a flow and to obtain the corresponding stationary integral solutions. We find that, depending on the values of the initial boundary conditions, the accretion flow may exhibit multitransonic behaviour and a standing shock may form. It is observed that the spin of the black hole influences the transonic properties of the accretion flow. In addition, the composition of the infalling matter determines the thermodynamic characteristics of the flow. In this work, we investigate in detail the interplay between spin and composition in shaping the dynamics of accretion flows and the astrophysics of shock formation.
Pal et al. (2026) studied this question.