Resonant Excitation of Disk Oscillations in Deformed Disks IV: A New Formulation Studying Stability

Abstract

The possibility has been suggested that high-frequency quasi-periodic oscillations observed in low-mass X-ray binaries are resonantly excited disk oscillations in deformed (warped or eccentric) relativistic disks (Kato 2004). In this paper we examine this wave excitation process from a viewpoint somewhat different from that of previous studies. We study how amplitudes of a set of normal mode oscillations change secularly with time by their mutual couplings through disk deformation. As a first step, we consider the case where the number of oscillation modes contributing to the resonance coupling is two. The results show that two prograde oscillations interacting through disk deformation can grow if their wave energies have opposite signs.

14 pages, 1 figure, to be published in PASJ 63, No.2 (2011)

References in corpus (3)

• On an excitation mechanism for trapped inertial waves in discs around black holes
• Studying Frequency Relations of kHz QPOs for 4U 1636-53 and Sco X-1: Observations Confront Theories
• Excitation of Trapped g-Mode Oscillations in Warped Disks around Black Holes

Cited by in corpus (5)

• A Resonantly-Excited Disk-Oscillation Model of High-Frequency QPOs of Microquasars
• Resonant Excitation of Disk Oscillations in Deformed Disks VI: Stability Criterion Revisited
• Resonant Excitation of Disk Oscillations in Deformed Disks VII: Stability Criterion in MHD Systems
• Resonant Excitation of Disk Oscillations in Deformed Disks V: Effects of Dissipative Process
• Simultaneous Resonant Excitation of Low-frequency Eccentric Wave and Tilt Wave on Tidally Deformed Disks