标题： 弯曲时空中的电场和磁场的定义 显示英文标题

标题： Definition of electric and magnetic fields in curved spacetime

摘要： 在弯曲时空中的电场和磁场矢量的定义需要正确选择观察者框架的四维矢量。 相关文献表明，物理学中的这一基本问题仍然需要得到正确的解决。 在最近关于使用电磁手段探测引力波的文献中，一种基于将$F_{ab}$作为具有两个协变指标的特殊相对论情况的随意定义很流行。 我们表明，通过以这种方式将物理场分配给张量分量，无法识别允许这种选择的框架四维矢量，从而无法在该框架中正确定义外部电荷和电流密度。 我们提出规范框架为正确的一个。 在此框架中，弱引力修正在麦克斯韦方程组的齐次和非齐次部分中表现为有效的极化和磁化。 显示英文摘要

摘要： Defining the electric and magnetic field vectors in curved spacetime requires a proper choice of the observer's frame four-vector. Related literature shows that this fundamental issue in physics still needs to be properly resolved. In recent literature on using electromagnetic means to detect gravitational waves, an ad hoc definition based on regarding $F_{ab}$ with two covariant indices as the special relativistic one is popular. We show that by assigning physical fields to tensor components in that way, one cannot identify the frame four-vector allowing such a choice, thus failing to properly define the external charge and current densities in that frame. We propose the normal frame as the proper one. In this frame, the weak gravity corrections appear as the effective polarizations and magnetizations in both the homogeneous and inhomogeneous parts of Maxwell equations.