Mg. Park et Gs. Miller, RADIATION HYDRODYNAMIC RADIAL OSCILLATIONS - GENERAL-RELATIVISTIC TREATMENT, Journal of the Korean Physical Society, 28, 1995, pp. 555-561
Diverse luminosity variabilities exist in many accretion systems like
galactic X-ray sources. Quasi-periodic oscillation (QPO) in luminosity
is one example seen in low-mass X-ray. binaries. To extend the work o
f Miller and Park[1] who investigated the radiation hydrodynamic insta
bility with Newtonian approximation as the driving mechanism for the h
orizontal and flaring branch QPOs, we study the stability of the radia
tion dominated spherical accretion flow to radial perturbations in the
framework of general relativity. Effects of curved spacetime and radi
ation moments in the fixed and comoving frames are rigorously treated.
Both local and global modes are found through linear analyses and the
result is compared with those of previous works.