Low angular momentum general relativistic magnetohydrodynamic accretion flow around rotating black holes with shocks

We investigate the global structure of general relativistic magneto-hydrodynamic (GRMHD) accretion flows around Kerr black holes containing shock waves, where the disk is threaded by radial and toroidal magnetic fields. We self-consistently solve the GRMHD equations that govern the flow motion inside the disk and for the first time to our knowledge, we obtain the shock-induced global GRMHD accretion solutions around weakly as well as rapidly rotating black holes for a set of fundamental flow parameters, such as energy (E), angular momentum (L), radial magnetic flux (Φ), and iso-rotation parameter (F). We show that shock properties, namely shock radius (rₛₕ), compression ratio (R) and shock strength (Ψ) strongly depends on E, L, Φ, and F. We observe that shock in GRMHD flow continues to exist for wide range of the flow parameters, which allows us to identify the effective domain of parameter space in $L-E$ plane where shock solutions are feasible. Moreover, we examine the modification of the shock parameter space and find that it shifts towards the lower angular momentum values with increasing Φ and black hole spin (aₖ). Finally, we compute the critical radial magnetic flux (Φᶜʳⁱ) that admits shocks in GRMHD flow and ascertain that Φᶜʳⁱ is higher (lower) for black hole of spin aₖ = 0.99 ($0.0$) and vice versa.