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

Open Access
Publisher Website
Google Scholar
Abstract
We study the effect of a weak, axisymmetric magnetic field on linear, adiabatic oscillations of a star. 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.

This publication has 0 references indexed in Scilit: