Manko等时空中混沌动力学的修正研究
Revised research about chaotic dynamics in Manko et al. spacetime
摘要：
Dubeibe等人[Phys.Rev.D75，023008（2007）]的近期工作指出，Manko、Sanabria-Gomez和Manko（Manko et al.）度规只能在恒星具有扁球形变形时出现。但他们发现的混沌运动仅限于非常靠近大质量天体中心的一个非常狭窄的区域。本文认为这是不可能的，因为该区域实际上是在恒星内部，所以运动不可能存在于这个地方。在本文中，我们扫描了所有的参数空间，找到了大质量四极矩恒星外的混沌和不稳定不动点。计算结果表明，只有当恒星发生长轴形变时，才会出现混沌现象。由于恒星的真实形变应该是扁圆形的，所以Manko等人的解描述的绕旋转中子星的所有测试粒子轨道都是正则的。偶极磁矩非零的情况也被考虑在这项研究中。
英文摘要：
A recent work by Dubeibe et al. [Phys. Rev. D 75, 023008 (2007)] stated that chaos phenomenon of test particles in gravitational field of rotating neutron stars which are described by Manko, Sanabria-Gomez, and Manko (Manko et al.) metric can only occur when the stars have oblate deformation. But the chaotic motions they found are limited in a very narrow zone which is very close to the center of the massive bodies. This paper argues that this is impossible because the region is actually inside of the stars, so the motions cannot exist at this place. In this paper, we scan all parameters space and find chaos and unstable fixed points outside of stars with big mass-quadrupole moments. The calculations show that chaos can only occur when the stars have prolate deformation. Because real deformation of stars should be oblate, all orbits of test particles around the rotating neutron stars described by Manko et al. solutions are regular. The case of nonzero dipolar magnetic moment has also been taken into account in this study.
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