Effect of Mass Variation on the Radial Oscillations of Differentially Rotating and Tidally Distorted Polytropic Stars

A method is proposed to compute the eigenfrequencies of small adiabatic pseudo-radial modes of oscillations of differentially rotating and tidally distorted stellar models by taking into account the effect of mass variations on its equipotential surface inside the stars. The developed approach has b...

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Bibliographic Details
Published in:Astrophysics 2015-06, Vol.58 (2), p.296-307
Main Authors: Saini, Seema, Kumar, Sunil, Lal, A. K.
Format: Article
Language:English
Subjects:
Adiabatic flow
Astronomy
Astrophysics
Astrophysics and Astroparticles
Astrophysics and Cosmology
Distortion
Eigenfrequencies
Equipotentials
Mass (Physics)
Mathematical models
Observations
Observations and Techniques
Oscillations
Physics
Physics and Astronomy
Space Exploration and Astronautics
Space Sciences (including Extraterrestrial Physics
Stars
Stars & galaxies
Stellar models
Stellar rotation
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Summary:A method is proposed to compute the eigenfrequencies of small adiabatic pseudo-radial modes of oscillations of differentially rotating and tidally distorted stellar models by taking into account the effect of mass variations on its equipotential surface inside the stars. The developed approach has been used to compute certain radial modes of oscillations of polytropic models with polytropic indices 1.5, 3.0 and 4.0. The results obtained have been compared with results obtained earlier without taking into account the mass variation. Certain conclusions based on this study have been drawn.
ISSN:0571-7256
1573-8191
DOI:10.1007/s10511-015-9384-7