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

被引：3

作者：

Kofron, David ^{[1
]}

Kotlarik, Petr ^{[1
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Inst Theoret Phys, Holesovickach 2, Prague 18000 8, Czech Republic

来源：

PHYSICAL REVIEW D | 2022年 / 106卷 / 10期

关键词：

AXISYMMETRICAL ELECTROMAGNETIC-FIELDS; GENERAL SOLUTIONS; CURRENT LOOP; PERTURBATIONS; EQUATIONS;

D O I：

10.1103/PhysRevD.106.104022

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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 (sic)(0) 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.

引用

页数：12

共 28 条

[11] CONSTRUCTIVE PROCEDURE FOR PERTURBATIONS OF SPACETIMES [J].