Journal
ASTROPHYSICAL JOURNAL
Volume 680, Issue 2, Pages 1319-1325Publisher
IOP PUBLISHING LTD
DOI: 10.1086/588013
Keywords
accretion; accretion disks; black hole physics; gravitation; relativity
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We demonstrate that the corotation resonance affects only some nonaxisymmetric g-mode oscillations of thin accretion disks, since it is located within their capture zones. Using a more general (weaker radial WKB approximation) formulation of the governing equations, such g-modes, treated as perfect fluid perturbations, are shown to formally diverge at the position of the corotation resonance. For the known g-modes with moderate values of the radial mode number and axial mode number (and any vertical mode number), the corotation resonance lies well outside their trapping region (and inside the innermost stable circular orbit), so the observationally relevant modes are unaffected by the resonance. The axisymmetric g-mode has been seen by Reynolds & Miller in a recent inviscid hydrodynamic accretion disk global numerical simulation. We also point out that the g-mode eigenfrequencies approximately obey the harmonic relation sigma alpha m for axial mode numbers vertical bar m vertical bar >= 1.
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