Standing accretion shock waves around rotating black holes in presence of cooling.

We investigate the properties of the shock waves for a rotating accretion flow around a spinning black hole (BH) in presence of synchrotron cooling. We present all possible accretion solutions. We show that global accretion shock solutions exist for a wide range of flow parameters. We separate the region of the parameter space for steady and oscillating shocks which gradually shrinks as cooling is increased. We also find that shock fronts move closer to the BH for enhanced cooling efficiency which could be the source of high frequency quasi-periodic oscillations around the rotating black holes at higher accretion rate. [ABSTRACT FROM AUTHOR]