论文标题
用于带电环或Kerr Black Hole上的带电环或圆形电流的Debye超电势
Debye superpotential for charged rings or circular currents on Kerr black hole
论文作者
论文摘要
我们为圆形源的Debye超电势提供了明确的,封闭和紧凑的表达。通过整合Teukolsky Master方程(TME)的绿色功能,可以获得此超电势。对于特定的配置,Debye电位本身以与$ ϕ_0 $字段组件相同的方式计算得出的方式是根据TME的绿色函数计算得出的,这是通过用来汇总绿色函数的。这样,我们在Kerr背景上提供了一个精确的带电环和圆电流的场,从而最终确定了Linet的工作。
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 $ϕ_0$ 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.