Magnetic Moment Density from Lack of Smoothness of the Ernst Potential

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.