Normal Modes of Rotating Magnetic Stars

Abstract

We investigate the effect of a magnetic field on the global oscillation modes of a rotating fluid star in the magnetohydrodynamic approximation. We present general equations for the modification of any type of fluid mode due to a general magnetic field which is not aligned with the star's spin axis. In the case of any internal dipole magnetic field we derive the equations for the frequency corrections to the r-modes. We solve for the frequency correction explicitly for the case when the internal dipole field is force-free, including the uniform density case. In the weak-field limit, the spatial form of the r-mode velocity perturbation is unchanged, but the magnitude of the frequency in the rotating frame increases.

21 pages, 2 figures, revised version to appear in v574 n2 pt1 ApJ August 1, 2002

References in corpus (3)

• Nonlinear mode coupling in rotating stars and the r-mode instability in neutron stars
• Properties of r modes in rotating magnetic neutron stars. I. Kinematic Secular Effects and Magnetic Evolution Equations
• Properties of r modes in rotating magnetic neutron stars. II. Evolution of the r modes and stellar magnetic field

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