标题： 带电环或克尔黑洞上的圆电流的德拜超势 显示英文标题

标题： Debye superpotential for charged rings or circular currents on Kerr black hole

摘要： 我们为圆形源的德拜超势提供了显式、封闭且紧凑的表达式。 该超势是通过积分泰科斯基主方程（TME）的格林函数得到的。 然后，对于特定配置，德拜势是通过将TME的格林函数与源进行卷积，以与$\phi_0$场分量从TME的格林函数计算相同的方式进行计算。 这样，我们提供了电荷环和克尔背景上的圆电流的精确场，从而完成了林内特的工作。 显示英文摘要

摘要： We provide an explicit, closed and compact expression for the Debye superpotential of a circular source. This superpotential is obtained by integrating the Green function of Teukolsky Master Equation (TME). The Debye potential itself is then, for a particular configuration, calculated in the same manner as the $\phi_0$ field component is calculated from the Green function of the TME -- by convolution of the Green function with sources. This way we provide an exact field of charged ring and circular current on the Kerr background, finalizing thus the work of Linet.