Resonant Excitation of Disk Oscillations in Deformed Disks III: Revision of Mathematical Treatment
arXiv:0808.1218 · doi:10.1093/pasj/60.6.1387
Abstract
In previous studies, we have examined a resonant excitation of disk oscillations in deformed disks. In these studies, however, mathematical treatment around the resonant points was not rigorous. In this paper the inadequate point is corrected, with no essential changes in the final results. For this excitation process to work, disks must be general relativistic. That is, the non-monotonic radial distribution of epicyclic frequency in relativistic disks is essential for the presence of the resonance and for trapping of oscillations. In this paper, the growth rate of resonant oscillations is expressed in a form more suitable for numerical calculations.
18pages, to be published in PASJ 60, No. 6, 2008
References in corpus (4)
- Resonant Excitation of Disk Oscillations in Deformed Disks II: A Model of High Frequency QPOs
- On an excitation mechanism for trapped inertial waves in discs around black holes
- Frequency Correlation of QPOs Based on a Resonantly-Excited Disk-Oscillation Model
- Spin of Stellar-Mass Black Holes Estimated by a Model of Quasi-Periodic Oscillations
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- Corotational Instability, Magnetic Resonances and Global Inertial-Acoustic Oscillations in Magnetized Black-Hole Accretion Discs
- Excitation of Trapped g-Mode Oscillations in Warped Disks around Black Holes
- Oscillations of the Inner Regions of Viscous Accretion Disks
- Resonant Excitation of Disk Oscillations in Two-Armed-Deformed Disks and Application to High-Frequency QPOs
- Trapped, Two-Armed, Nearly Vertical Oscillations in Polytropic Disks
- Correlated Frequency-Changes of Trapped Vertical p-mode Oscillations and kHz QPOs
- Resonant Excitation of Disk Oscillations in Deformed Disks IV: A New Formulation Studying Stability
- Resonant Excitation of Disk Oscillations in Deformed Disks V: Effects of Dissipative Process