The analytic theory of fluid disks orbiting the Kerr black hole

Astronomy and Astrophysics – Astronomy

Scientific paper

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145

Angular Momentum, Black Holes (Astronomy), Flow Theory, Relativity, Rotating Disks, Astronomical Models, Circular Orbits, Cusps, Gravitational Effects, Rotating Fluids, Stellar Mass Accretion

Scientific paper

The theory of barytropic perfect fluid disks, together with a relativistic conceptualization of angular momentum density, has provided information on cusps located on the inner edge of accretion disks orbiting Kerr black holes. The existence of such cusps is shown to be a typical phenomenon for any angular momentum distribution. The Kerr black hole cusp is of interest because it resembles a cusp located on the Roche lobe in the close binary case. It is found that the cusp of a stable disk can be no closer to a black hole than the radius of the marginally bound circular orbit.

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