The electric field of a uniformly accelerated charge shows a plane of discontinuity, where the field extending only on one side of the plane, terminates abruptly on the plane with a finite value. This indicates a non-zero divergence of the electric field in a source-free region, implying a violation of Gauss law. In order to make the field compliant with Maxwell’s equations everywhere, an additional field component, proportional to a δ -function at the plane of discontinuity, is required. Such a ‘ δ -field’ might be the electromagnetic field of the charge, moving with a uniform velocity approaching c , the speed of light, prior to the imposition of acceleration at infinity. However, a range of attempts to derive this δ -field for such a case, have not been entirely successful. Some of the claims of the derivation involve elaborate calculations with some not-so-obvious mathematical approximations. Since the result to be derived is already known from the con...

中文翻译：

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均匀加速电荷的电磁场中的不连续性

均匀加速电荷的电场显示出一个不连续平面，其中仅在平面的一侧延伸的电场突然以有限值终止在平面上。这表明在无源区域中电场的非零散度，这意味着违反了高斯定律。为了使磁场在任何地方都符合麦克斯韦方程组，需要在不连续平面上与δ函数成比例的附加磁场分量。这样的“δ场”可能是电荷的电磁场，它在施加无穷大的加速度之前以接近光速c的均匀速度运动。但是，在这种情况下，尝试导出此δ场的尝试尚未完全成功。该推导的某些要求涉及使用一些不太明显的数学近似值进行的精心计算。由于要从结果中获知结果，所以...