实验粒子绕慢转相对论性辐射星的轨道
Trajectory of test particle around a slowly rotating relativistic star emitting isotropic radiation
摘要：
本文研究了均匀光度的慢自转相对论恒星附近实验粒子的运动。利用Miller和Lamb \cite{ML96}首先构造的辐射应力-能量张量，导出了测试粒子的运动方程。通过对运动方程进行数值积分得到的粒子轨迹发现，对于足够高的光度，存在"悬浮轨道"，测试粒子以与恒星自旋相同的均匀角速度盘旋。有趣的是，“悬浮轨道”的径向位置仅由恒星的光度和角动量决定，而与粒子的初始位置和特定角动量无关。同时还发现，不仅存在辐射阻力，还存在与恒星半径和角动量有关的"辐射反阻力"，正是这种辐射反阻力使"悬浮轨道"中的试验粒子以大于Lense-Thirring效应引起的均匀角速度盘旋（即，惯性系的广义相对论拖曳）。
英文摘要：
We explored the motion of test particles near slowly rotating relativistic star having a uniform luminosity. In order to derive the test particle's equations of motion, we made use of the radiation stress-energy tensor first constructed by Miller and Lamb \cite{ML96}. From the particle's trajectory obtained through the numerical integration of the equations of motion, it is found that for sufficiently high luminosity, "suspension orbit" exists, where the test particle hovers around at uniform angular velocity in the same direction as the star's spin. Interestingly, it turned out that the radial position of the "suspension orbit" was determined by the luminosity and the angular momentum of the star alone and was independent of the initial positions and the specific angular momentum of the particle. Also found is that there exist not only the radiation drag but also "radiation counter-drag" which depends on the stellar radius and the angular momentum and it is this radiation counter-drag that makes the test particle in the "suspension orbit" to hover around at uniform angular velocity which is greater than that induced by the Lense-Thirring effect (i.e., general relativistic dragging of inertial frame).
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