Alfvén Polar Oscillations of Relativistic Stars

Astronomy and Astrophysics – Astrophysics – High Energy Astrophysical Phenomena

Scientific paper

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10 pages, 5 figures

Scientific paper

10.1111/j.1365-2966.2009.14631.x

We study polar Alfv\'en oscillations of relativistic stars endowed with a strong global poloidal dipole magnetic field. Here we focus only on the axisymmetric oscillations which are studied by evolving numerically the two-dimensional perturbation equations. Our study shows that the spectrum of the polar Alfv\'{e}n oscillations is discrete in contrast to the spectrum of axial Alfv\'{e}n oscillations which is continuous. We also show that the typical fluid modes, such as the f and p modes, are not significantly affected by the presence of the strong magnetic field.

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