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

Astronomy and Astrophysics – Astronomy

Scientific paper

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Accretion Disks, Black Holes (Astronomy), Gravitational Effects, Kerr Magnetooptical Effect, Relativity, Angular Momentum, Angular Velocity, Orbital Mechanics, Rotating Bodies

Scientific paper

We study the nature of test particle motion in the presence of a rotating ring of self-gravitating matter around a Kerr black hole. We use a pseudo-Kerr potential to describe the rotating hole. Our 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. We also study 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.

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