Electromagnetic fields on Kerr spacetime, Hertz potentials, and Lorenz gauge
Electromagnetic fields on Kerr spacetime, Hertz potentials, and Lorenz gauge
复制标题
克尔时空、赫兹势和洛伦兹规范上的电磁场
作者：
S. Dolan
我们回顾了在克尔时空中构造电磁场矢量势的两种程序，即 Cohen 和 Kegeles 的经典方法，在辐射规中产生 $A^mu$，以及 Frolov 等人的新方法，在洛伦兹规中产生 $A^mu$。我们证明矢量势与直接的规范变换相关，我们以封闭形式给出。我们获得了可分离赫兹势 $H^{mu 的新结果
u}$ 使得 $A_{ ext{lor}}^mu =
阿布拉_
uH^{mu
u}$。
We review two procedures for constructing the vector potential of the electromagnetic field on Kerr spacetime, namely, the classic method of Cohen & Kegeles, yielding $A^mu$ in a radiation gauge, and the newer method of Frolov et al., yielding $A^mu$ in Lorenz gauge. We demonstrate that the vector potentials are related by straightforward gauge transformations, which we give in closed form. We obtain a new result for a separable Hertz potential $H^{mu
u}$ such that $A_{ ext{lor}}^mu =
abla_
u H^{mu
u}$.