Effects of a self-gravitating disc on test particle motion around a Kerr black hole

The nature of test particle motion in the presence of a rotating ring of self-gravitating matter around a Kerr black hole is studied. A pseudo-Kerr potential is used to describe the rotating hole. The result shows that, as the mass of the disc is increased, the radius of the marginally bound orbit decreases, whereas the location of the marginally stable orbit, as well as the maximum fraction of the binding energy that can be released, increases. The Keplerian angular momentum distribution, the effects due to dragging of inertial frames by the rotating ring and the force acting on a test particle are also studied