paper

Excitation of Disk Oscillations by Warps: A Model of kHz QPOs

arXiv:astro-ph/0409051 · doi:10.1093/pasj/56.5.905

Abstract

The amplification of disk oscillations resulting from non-linear resonant couplings between the oscillations and a warp is examined. The disks are geometrically thin and general relativistic with non-rotating central objects. By using a Lagrangian formulation, a general stability criterion is derived. The criterion is applied to horizontal and vertical resonances of g-mode oscillations and to horizontal resonances of p-mode oscillations. The results of analyses show that g-mode oscillations (including p-mode oscillations of ) are amplified by horizontal resonances with the warp. Other modes of oscillations with other resonances are all damped by resonances. The amplified g-mode oscillations are located around the radius , the radius of the epicyclic frequency being maximum, i.e., . The frequencies of amplified oscillations are harmonics of , and well explain the 2 : 3 pairs of observed QPOs for reasonable masses (and spins) of the central objects.

28 pages, 1 figure, PASJ Vol.56, No.5 (accepted)

Cited by in corpus (85)