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arXiv 0912.3480astro-ph.SR
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具有纯环形磁场的旋转磁化中子星的振荡

Oscillations of rotating magnetised neutron stars with purely toroidal magnetic fields

S. K. Lander, D. I. Jones, A. Passamonti

摘要:

我们研究了旋转牛顿中子星的振荡谱,赋予纯环形磁场,使用时间演化代码来发展的Cowling近似的线性扰动。背景恒星是通过数值求解MHD平衡方程产生的,并且可能由于旋转和磁场效应而成为非球形,因此我们的扰动和背景是完全一致的。虽然背景场是纯环向场,但扰动场是混合极面-环向场。从傅立叶分析的扰动,我们能够识别出一些磁恢复阿尔文(或$a$ -)模式。我们表明,在一个旋转的恒星纯惯性和$a$ -模式被替换的混合磁惯性模式,这减少到$a$ -模式的非旋转极限和惯性模式的限制。我们表明,$r$模式的不稳定性被抑制的磁场在足够慢的旋转恒星。此外,我们确定磁频移的$f$模式。我们讨论了我们的结果的天体物理相关性,特别是磁星振荡。

英文摘要:

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 Alfvén (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.

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