2022
DOI: 10.48550/arxiv.2211.04929
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Debye superpotential for charged rings or circular currents on Kerr black hole

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 ϕ0 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… Show more

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