Gravitomagnetic vorticity generation in black hole accretion disks: a potential spatial constraint on plasma flow stability
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Abstract We calculate the vorticity generation rate in the accretion disk near a slowly rotating black hole in the low velocity, weak-field limit of general relativity. Specifically, we find that the frame-dragging effect due to the black hole’s rotation – manifested through the gravitomagnetic field – can generate vorticity in a moving plasma in the accretion disk. The mechanism remains operational as long as the accretion disk has non-negligible vertical height and is independent of the exact thermodynamical profile of the disk. The enstrophy density generation rate, as a measure of turbulence and dissipation, is presented, which indicates that the frame-dragging effect can disrupt the stability of the disk away from the z = 0 plane.
2005 ◽
Vol 20
(32)
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pp. 2487-2496
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2006 ◽
Vol 21
(25)
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pp. 1947-1956
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2009 ◽
Vol 24
(34)
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pp. 2777-2785
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1993 ◽
Vol 157
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pp. 193-196
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2015 ◽
Vol 30
(38)
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pp. 1530029
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