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arXiv 1703.10883gr-qc
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相对论性薄磁化圆盘的稳定性问题

Stability aspects of relativistic thin magnetized disks

Vanessa P. de Freitas, Alberto Saa

摘要:

我们适应著名的“位移,切割和反射”的方法来构造爱因斯坦-麦克斯韦方程组的精确解对应于无限薄的磁盘的物质赋予偶极子磁场,这是完全支持的表面极电流的磁盘上。我们的出发点是Gutsunaev-Manko轴对称解决方案描述的质量磁偶极子在广义相对论,从我们得到一个连续的三参数家庭的渐近平坦的静态磁化磁盘有限的质量和能量。对于强磁场,磁盘表面密度分布类似于一些众所周知的自引力环状结构。我们表明,这些解决方案中的许多确实可以是稳定的,因此,他们可能在原则上是有用的,涉及磁盘的物质和磁场丰富的天体物理情况的研究。

英文摘要:

We adapt the well known "displace, cut and reflect" method to construct exact solutions of the Einstein-Maxwell equations corresponding to infinitesimally thin disks of matter endowed with dipole magnetic fields, which are entirely supported by surface polar currents on the disk. Our starting point is the Gutsunaev-Manko axisymmetric solution describing massive magnetic dipoles in General Relativity, from which we obtain a continuous three-parameter family of asymptotically flat static magnetized disks with finite mass and energy. For strong magnetic fields, the disk surface density profile resembles some well known self-gravitating ring-like structures. We show that many of these solutions can be indeed stable and, hence, they could be in principle useful for the study of the abundant astrophysical situations involving disks of matter and magnetic fields.

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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