Spherical Accretion on a Schwarzschild-MOG Black Hole

Abstract: In this paper we have examined spherical accretion onto Schwarzschild MOG Black Holes within the framework of Modified Gravity. Using isothermal test fluids, we analyze the behavior of the flow near the critical (sonic) point for various values of the equation of state parameter $k$. Depending on the fluid type, the flow exhibits either subsonic or supersonic behavior, with ultra-stiff and ultra-relativistic fluids allowing both regimes, while radiation and sub-relativistic fluids show more restricted dynamics. Phase space analysis helps visualize these transitions. We also compute the mass accretion rate and find that it increases with both radial distance and the MOG parameter $\alpha$, highlighting the role of modified gravity in enhancing accretion processes around black holes