Normal Modes of Rotating Magnetic Stars
Author(s) -
Sharon M. Morsink,
Vahid Rezania
Publication year - 2002
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/341190
Subject(s) - physics , magnetic field , magnetic dipole , dipole , magnetohydrodynamic drive , perturbation (astronomy) , quantum electrodynamics , magnetohydrodynamics , oscillation (cell signaling) , classical mechanics , field (mathematics) , mechanics , quantum mechanics , mathematics , biology , genetics , pure mathematics
We investigate the effect of a magnetic field on the global oscillation modesof a rotating fluid star in the magnetohydrodynamic approximation. We presentgeneral equations for the modification of any type of fluid mode due to ageneral magnetic field which is not aligned with the star's spin axis. In thecase of any internal dipole magnetic field we derive the equations for thefrequency corrections to the r-modes. We solve for the frequency correctionexplicitly for the case when the internal dipole field is force-free, includingthe uniform density case. In the weak-field limit, the spatial form of ther-mode velocity perturbation is unchanged, but the magnitude of the frequencyin the rotating frame increases.Comment: 21 pages, 2 figures, revised version to appear in v574 n2 pt1 ApJ August 1, 200
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