论文标题
Reissner-NordströmSpacetime中的第二个牛顿后动议
The second post-Newtonian motion in Reissner-Nordström spacetime
论文作者
论文摘要
我们衍生了第二个在谐波坐标下，在reissner-nordström时空中带电的测试粒子的准轻巧运动的第二个解决方案。该溶液是根据测试粒子的轨道能和角动量制定的，两者均是第二个牛顿后秩序的常数。明确显示了对测试粒子运动的电荷影响，包括轨道周期和圆周预裂。我们的结果可以应用于测试粒子具有较小的电荷与质量比的情况，或者测试粒子具有任意的电荷与质量比，但是测试粒子的乘法和重力源的电荷与质量比率远小于1。
We derived the second post-Newtonian solution for the quasi-Keplerian motion of a charged test particle in the Reissner-Nordström spacetime under the harmonic coordinates. The solution is formulated in terms of the test particle's orbital energy and angular momentum, both of which are constants at the second post-Newtonian order. The charge effects on the test particle's motion including the orbital period and perihelion precession are displayed explicitly. Our results can be applied to the cases in which the test particle has small charge-to-mass ratio, or the test particle has arbitrary charge-to-mass ratio but the multiplication of the test particle and the gravitational source's charge-to-mass-ratios is much smaller than 1.
