等效原理与运动物体的电动力学
On the Equivalence Principle and Electrodynamics of Moving Bodies
摘要：
我们考虑爱因斯坦的电梯思想实验的某种扩展，假设电梯带电并落入电磁场。我们认为，在等效原理的基础上，一个依赖于电磁场的度规应该存在，其中的测地线与带电体在电磁场中的轨迹重合。我们通过找到这样一个度规来解决这个问题，因此我们能够恢复洛伦兹力定律。用这种方法也可以恢复辐射反作用力的主导项。
英文摘要：
We consider a certain extension of the Einstein's elevator thought experiment by assuming that the elevator is charged and falls into an electromagnetic field. We argue, on grounds of the Equivalence Principle, that an observer-dependent metric should exist, for which the geodesics coincide with the trajectories of the charged body in the electromagnetic field. We give a solution to this problem by finding such a metric and hence we are able to recover the Lorentz-force law. Recovery of the leading terms of the radiation reaction force is also possible with this approach.
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