Thick disk accretion in Kerr space-time with arbitrary spin parameters

In this paper we extend our previous works on spherically symmetric accretion onto black holes and superspinars to the case in which the fluid has a finite angular momentum initially. We run 2.5D and 3D general relativistic hydrodynamic simulations of the accretion of a fat disk. We study how the accretion process changes by changing the values of the parameters of our model. We show that the value of the fluid angular momentum critically determines turn-on and off the production of powerful equatorial outflows around superspinars. For corotating disks, equatorial outflows are efficiently generated, even for relatively low spin parameters or relatively large superspinar radii. For counterrotating disks, equatorial outflows are instead significantly suppressed, and they are possible only in limited cases. We also study accretion around a tilted disk.