Relativistic, accreting disks

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Relativity, Rotating Disks, Stellar Mass Accretion, Angular Momentum, Astronomical Models, Binary Stars, Cusps, Gravitational Effects, Pressure Gradients

Scientific paper

An analytic theory of the hydrodynamical structure of accreting disks (without self-gravitation but with pressure) orbiting around an axially symmetric, stationary, compact body (e.g., black hole) is presented. The inner edge of the marginally stable accreting disk (i.e., disk with constant angular momentum density) has a sharp cusp located on the equatorial plane no closer than the radius of the marginally bound circular orbit. The existence of the cusp is also typical for any angular momentum distribution. The physical importance of the cusp follows from the close analogy with the case of a close binary system (a Lagrange point on the Roche lobe). The existence of the cusp is thus a crucial phenomenon in such problems as boundary condition for the viscous stresses, accretion rate, etc.

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