Parameter Dependence of Transonic Accretion onto a Black Hole in the Presence of Bremsstrahlung and Synchrotron Cooling

The topologies are obtained for accretion flows around black holes as the parameters, accretion rate and specific angular momentum are varied. Paczy{\'n}ski-Wiita pseudo-Newtonian potential is used to mimic the gravitational field of a Schwarzschild black hole. Both stellar mass($14M_{\odot}$) and supermassive($10^8M_{\odot}$) black holes are considered. The effects of bremsstrahlung and synchrotron cooling processes on the flow dynamics are studied. Rankine-Hugoniot conditions are checked for possible shock formation of solution branches of the topology. Stability of the branches and the boundary conditions of the flow are likely to decide the uniqueness of the solution.