Electromagnetic field due to a non-axisymmetric current loop around Kerr blackhole

Abstract

We derive for test electromagnetic field of a non-axisymmetric current loop around a Kerr blackhole. For this, we write complete solution for the `inside` as well as 'out side' regions of the current loop using vacuum solutions of King (1977). We calculate discontinuities in two ways. First, we integrate radially the inhomogeneous Maxwell equations across a thin shell at r/subo/ the loop radius, written in Newmann-Penrose (NP) formalism. Second, the discontinuity in the electromagnetic field components is obtained from the complete solution in which the 'inside' solution is characterized by a complex constant Alpha im and the outside solution by beta im. Now we equate the two discontinuities and the determine the complete solution. A particular solution, namely, electromagnetic field of an equatorial current loop is obtained.