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arXiv · 2211.04929

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

David Kofroň·Petr Kotlařík
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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 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.

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David Kofroň, Petr Kotlařík. 2022-11-09. Debye superpotential for charged rings or circular currents on Kerr black hole. https://arxiv.org/abs/2211.04929

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