Kerr时空中基于Corinaldesi-Papapetrou条件Mathisson-Papapetrou方程的后牛顿动力学
Post-Newtonian dynamics basing on Mathisson-Papapetrou equations with Corinaldesi-Papapetrou condition in Kerr spacetime
摘要：
在Kerr时空中，我们导出了具有Corinaldesi-Papapetrou自旋补充条件的自旋体的后牛顿动力学。得到了质心运动方程和自旋演化方程。对于非相对论的情况，我们的计算表明，在静止坐标系中测量的自旋的大小的身体的质心不随时间而变化，虽然质心不沿测地线移动。此外，我们还发现当物体具有相对论速度时，洛伦兹因子会抑制自旋-轨道耦合和自旋-自旋耦合的影响。
英文摘要：
We derive the post-Newtonian dynamics for a spinning body with Corinaldesi-Papapetrou spin supplementary condition in Kerr spacetime. Both the equations of motion for the center-of-mass of body and the spin evolution are obtained. For the non-relativistic case, our calculations show that the magnitude of spin measured in the rest frame of the body's center-of-mass does not change with time, though the center-of-mass does not move along the geodesic. Moreover, we find that the effects of the spin-orbit and spin-spin couplings will be suppressed by the Lorentz factor when the body has a relativistic velocity.
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