Damping and Frequencies of Non-Axisymmetric Trapped <i>g</i>-Mode Oscillations

Abstract The trapping of non-axisymmetric $g$-mode oscillations in relativistic disks are examined both by a WKB method and by a method of examining the energy flow through the corotation radius. The former is a reexamination of a previous paper to correct an error in the analyses. Both analyses show that the trapped $g$-mode oscillations are damping. We further examine the frequencies and the trapped regions of these oscillations. The fundamental mode and the first overtone are trapped in the innermost region of disks with a moderate ratio of frequencies. They are possible candidates of observed kHz quasi-periodic oscillations.