Publication at Faculty of Mathematics and Physics |
2022
Abstract
We provide an explicit, closed, and compact expression for the Debye superpotential of a circular source. This superpotential is obtained by integrating the Green's function of the Teukolsky Master Equation (TME).
The Debye potential itself is then, for a particular configuration, calculated in the same manner as the φ0 field component is calculated from the Green's function of the TME - by convolution of the Green's 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.