论文标题
中子星的扭转振荡的自相似关系
Selfsimilarity relations for torsional oscillations of neutron stars
论文作者
论文摘要
讨论了中子恒星外壳的扭转振荡频率的自相似关系。对于任何中子星模型，基本扭转振荡的频率（没有径向波函数节点，即在n = 0时，并且在所有可能的角波数l> = 2）由单个常数确定。普通扭转振荡的频率（在任何n> 0，l> = 2）由两个常数确定。这些常数很容易通过中子恒星外壳上的径向积分来计算，从而提供了确定完整振荡频谱的最简单方法。固定质量星星的所有常数都可以准确地插入各种质量的恒星（但状态方程相同）。另外，可以在地壳内的平坦时空近似中准确研究扭转振荡。该结果对于研究磁铁的磁弹性振荡可能是有用的，这些磁铁被认为被认为是软伽玛中心弹药后的准周期性振荡。
Selfsimilarity relations for torsional oscillation frequencies of neutron star crust are discussed. For any neutron star model, the frequencies of fundamental torsional oscillations (with no nodes of radial wave function, i.e. at n=0, and at all possible angular wave numbers l >= 2) is determined by a single constant. Frequencies of ordinary torsional oscillations (at any n>0 with l >= 2) are determined by two constants. These constants are easily calculated through radial integrals over the neutron star crust, giving the simplest method to determine full oscillation spectrum. All constants for a star of fixed mass can be accurately interpolated for stars of various masses (but the same equation of state). In addition, the torsional oscillations can be accurately studied in the flat space-time approximation within the crust. The results can be useful for investigating magneto-elastic oscillations of magnetars which are thought to be observed as quasi-periodic oscillations after flares of soft-gamma repeaters.
