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arXiv 0802.2983astro-phgr-qc
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具有纯环形磁场的相对论性恒星

Relativistic stars with purely toroidal magnetic fields

Kenta Kiuchi, Shijun Yoshida

摘要:

研究了纯环向磁场对相对论恒星平衡结构的影响。首次导出了含纯环向磁场的相对论性旋转恒星平衡解的主方程。为了解决这些主方程的数值,我们扩展了库克-夏皮罗-Teukolsky计划计算不含磁场的相对论旋转恒星,将纯环形磁场的影响。通过使用的数值方案,我们然后计算了大量的平衡位形的特定分布的磁场,以探讨平衡性质。我们还构建了恒重子质量和/或恒磁通量的平衡序列,模拟了孤立中子星通过引力波失去角动量时的演化。本研究得到的磁化星平衡位形的重要性质如下:(1)对于非自转恒星,由于环形磁场的存在,恒星的物质分布发生了长轴扭曲。(2)对于快速旋转的恒星,由于离心力的作用,恒星表面的形状变成扁圆形。但是,恒星内部深处的物质分布足够长,恒星的平均物质分布也足够长。(3)较强的环形磁场导致恒星在较低的角速度下发生质量脱落。(4)对于某些重子质量和磁通量恒定的平衡序列,恒星可以在失去角动量时自旋。

英文摘要:

We investigate the effects of the purely toroidal magnetic field on the equilibrium structures of the relativistic stars. The master equations for obtaining equilibrium solutions of relativistic rotating stars containing purely toroidal magnetic fields are derived for the first time. To solve these master equations numerically, we extend the Cook-Shapiro-Teukolsky scheme for calculating relativistic rotating stars containing no magnetic field to incorporate the effects of the purely toroidal magnetic fields. By using the numerical scheme, we then calculate a large number of the equilibrium configurations for a particular distribution of the magnetic field in order to explore the equilibrium properties. We also construct the equilibrium sequences of the constant baryon mass and/or the constant magnetic flux, which model the evolution of an isolated neutron star as it loses angular momentum via the gravitational waves. Important properties of the equilibrium configurations of the magnetized stars obtained in this study are summarized as follows ; (1) For the non-rotating stars, the matter distribution of the stars is prolately distorted due to the toroidal magnetic fields. (2) For the rapidly rotating stars, the shape of the stellar surface becomes oblate because of the centrifugal force. But, the matter distribution deep inside the star is sufficiently prolate for the mean matter distribution of the star to be prolate. (3) The stronger toroidal magnetic fields lead to the mass-shedding of the stars at the lower angular velocity. (4) For some equilibrium sequences of the constant baryon mass and magnetic flux, the stars can spin up as they lose angular momentum.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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