Astronomy and Astrophysics – Astrophysics – Solar and Stellar Astrophysics
Scientific paper
2009-12-17
MNRAS 405, 318 (2010)
Astronomy and Astrophysics
Astrophysics
Solar and Stellar Astrophysics
15 pages, 9 figures
Scientific paper
10.1111/j.1365-2966.2010.16435.x
We investigate the oscillation spectrum of rotating Newtonian neutron stars endowed with purely toroidal magnetic fields, using a time evolution code to evolve linear perturbations in the Cowling approximation. The background star is generated by numerically solving the MHD equilibrium equations and may be nonspherical by virtue of both rotation and magnetic effects; hence our perturbations and background are fully consistent. Whilst the background field is purely toroidal, the perturbed field is mixed poloidal-toroidal. From Fourier analysis of the perturbations we are able to identify a number of magnetically-restored Alfv\'en (or $a$-) modes. We show that in a rotating star pure inertial and $a$-modes are replaced by hybrid magneto-inertial modes, which reduce to $a$-modes in the nonrotating limit and inertial modes in the nonmagnetic limit. We show that the $r$-mode instability is suppressed by magnetic fields in sufficiently slowly rotating stars. In addition, we determine magnetic frequency shifts in the $f$-mode. We discuss the astrophysical relevance of our results, in particular for magnetar oscillations.
Jones David Ian
Lander Samuel K.
Passamonti Andrea
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