Magnetic Moment Density from Lack of Smoothness of the Ernst Potential

TL;DR

This paper introduces a method to derive magnetic moment densities in stationary axisymmetric spacetimes by analyzing the non-smoothness of the Ernst potential, with applications to the Kerr-Newman solution.

Contribution

It presents a novel approach linking Ernst potential discontinuities to magnetic source construction in electrovac spacetimes.

Findings

Magnetic moment density is related to Ernst potential non-smoothness.

Method involves solving a linear elliptic differential equation.

Application to Kerr-Newman field demonstrates practical utility.

Abstract

In this talk it is shown a way for constructing magnetic surface sources for stationary axisymmetric electrovac spacetimes possessing a non-smooth electromagnetic Ernst potential. The magnetic moment density is related to this lack of smoothness and its calculation involves solving a linear elliptic differential equation. As an application the results are used for constructing a magnetic source for the Kerr-Newman field.