A singular perturbation approach to the effect of a weak magnetic field on stellar oscillations

Astronomy and Astrophysics – Astronomy

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Perturbation Theory, Stellar Magnetic Fields, Stellar Oscillations, Asymptotic Methods, Atmospheric Models, Magnetohydrodynamics

Scientific paper

The effect of a weak, axisymmetric magnetic field on linear, adiabatic oscillations of a star is studied. Over the bulk of the star a regular perturbation treatment is adequate, but this breaks down near the surface if the field does not vanish there but extends into the low density exterior. Singular perturbation methods are applied to the case of a star with a polytropic atmosphere and a curl-free, dipolar field in the surface region, oscillating in a mode that is radial in the absence of the field. Deep down the motions remain nearly radial, but as the surface is approached the field ensures that the horizontal and vertical motions are of the same order, possibly affecting the interpretation of observed light and velocity curves.

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