Multi-transonic behaviour of low angular momentum axially symmetric multi-component accretion flow around a rotating black hole under the influence of a pseudo Kerr gravitational potential

We investigate the 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 a certain kind of post-Newtonian gravitational potential. The accreting matter consists of different species. A variable adiabatic index equation of state incorporaing multispecies information has been used to study the individual components of the accreting matter. We construct and solve the corresponding set of equations governing such flow, and find out the corresponding stationary integral solutions. We find that depending on the values of initial boundary conditions, accretion flow may exhibit multi-transonic behaviour, and a standing shock may form. We investigate, in detail, how the spin angular momentum of the black hole, as well as how the composition of the accreting matter influences the astrophysics of shock formation in the aforementioned accreting black hole systems.