Dynamical properties of magnetized low angular momentum accretion flow around a Kerr black hole

An essential factor in determining the flow characteristics of an accretion flow is its angular momentum. According to the angular momentum of the flow, semi-analytical analysis suggests various types of accretion solutions. It is critical to test it with numerical simulations using the most advanced framework available (general relativistic magnetohydrodynamics) to understand how flow changes with different angular momentum. By changing the initial condition of the accretion torus minimally, we can simulate steady, low angular momentum accretion flow around a Kerr black hole. We focus primarily on the lower limits of angular momentum and come upon that accretion flow with an intermediate range of angular momentum differs significantly from high or very low angular momentum flow. The intermediate angular momentum accretion flow has the highest density, pressure, and temperature near the black hole, making it easier to observe. We find that the density and pressure have power-law scalings $\rho\propto r^{n-3/2}$ and $p_g\propto r^{n-5/2}$ which only hold for very low angular momentum cases. With the increase in flow angular momentum, it develops a non-axisymmetric nature. In this case, simple self-similarity does not hold. We also find that the sonic surface moves away from the innermost stable circular orbit as its angular momentum decreases. Finally, we emphasize that intermediate angular momentum flow could provide a possible solution to explain the complex observation features of the supermassive black hole Sgr~A$^*$ at our galactic center.