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Non-radial oscillations and convective instability of a polytrope with a toroidal magnetic field

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Abstract

We examine the non-radial modes of oscillation, belonging to spherical harmonics of ordersl=1 andl=3, of a gaseous polytrope with a toroidal magnetic field. We find that a toroidal magnetic field increases the growth rate of convective instability for deformations belonging to the spherical harmonicl=1 whereas it decreases the growth rate of convective instability for deformations belonging to the harmonicsl=2 andl=3. The frequencies of the ‘acoustic’ mode and the ‘Kelvin’ mode are decreased by the presence of the toroidal magnetic field.

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Authors and Affiliations

  1. Department of Mathematics, Panjab University, Chandigarh, India

    N. K. Sood & S. K. Trehan

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  1. N. K. Sood
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  2. S. K. Trehan
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Sood, N.K., Trehan, S.K. Non-radial oscillations and convective instability of a polytrope with a toroidal magnetic field. Astrophys Space Sci 19, 441–467 (1972). https://doi.org/10.1007/BF00645727

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  • DOI: https://doi.org/10.1007/BF00645727

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