Vibrational Stability of Differentially Rotating Polytropic Stars

摘要

A method for computing the periods of radial and non-radial modes of oscillations to determine the vibrational stability of differentially rotating polytropic gaseous spheres is presented and incorporated with averaging techniques of Kippenhahn and Thomas. The concepts of Roche-equipotential have also been used for obtaining the distorted structure of different stellar models. Numerical results based on this study are presented to explain the effect of differential rotation on the oscillations and stability of polytropic stars.