Debye superpotential for charged rings or circular currents around Kerr black holes

Article

Debye superpotential for charged rings or circular currents around Kerr black holes

Kotlařík P.; Kofroň D.

Phys. Rev. D 106(10), 12 (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.

Institute authors

Kofroň, David

Supported by

GACR 21-11268S — Mass and charge currents in general relativity and astrophysics
SVV-260587 — Aktuální problémy teoretické fyziky, astronomie a astrofyziky, SVV-260587

BibTeX

@article{UTF919,
  author        = {Kotlařík P. and Kofroň D.},
  title         = {{Debye superpotential for charged rings or circular currents around Kerr black holes}},
  journal       = {Phys. Rev. D},
  volume        = {106},
  number        = {10},
  pages         = {12},
  year          = {2022},
  month         = {11},
  doi           = {10.1103/PhysRevD.106.104022},
}