Twisted accretion discs - The Bardeen-Petterson effect

Astronomy and Astrophysics – Astronomy

Scientific paper

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Accretion Disks, Black Holes (Astronomy), Kerr Effects, Precession, Alignment, Attitude (Inclination), Axes Of Rotation, Radii, Viscosity

Scientific paper

The effect of Lense-Thirring precession on the inner regions of an accretion disk around a misaligned Kerr black hole is calculated by solving the equations governing the tilt of a twisted, viscous disk derived by Papaloizou and Pringle (1983). It is found that the combined effect of Lense-Thirring precession and viscosity is to align the plane of the disk with the precession axis as predicted by Bardeen and Petterson (1975). The standard formula for the radius at which this alignment occurs is approximately correct for dimensionless velocity alpha between 0.1 and 1. For alpha less than 0.1, it is confirmed that the alignment radius decreases with decreasing viscosity.

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