Debye superpotential for charged rings or circular currents around Kerr black holes
Kotlařík P.; Kofroň D.
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.
| type: | article |
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| journal: | Phys. Rev. D |
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| volume: | 106 |
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| nr: | 10 |
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| pages: | 12 |
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| year: | 2022 |
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| month: | 11 |
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| grants: | Mass and charge currents in general relativity and astrophysics, GAČR 21-11268S; 2021-2023; hlavní řešitel: Oldřich SemerákAktuální problémy teoretické fyziky, astronomie a astrofyziky, SVV-260587; 2020-2022; řešitel: Oldřich Semerák |
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