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.
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Swami Rama Himalayan Univ, Dept Math, Himalayan Sch Engn & Technol, Dehra Dun 248140, Uttarakhand, IndiaSwami Rama Himalayan Univ, Dept Math, Himalayan Sch Engn & Technol, Dehra Dun 248140, Uttarakhand, India
Kumar, Sunil
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Saini, Seema
Singh, Kamal Krishan
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Graph Era Univ, Dept Math, Dehra Dun 248001, Uttarakhand, IndiaSwami Rama Himalayan Univ, Dept Math, Himalayan Sch Engn & Technol, Dehra Dun 248140, Uttarakhand, India