Minkowski electromagnetic analog for Kerr-Newman electrovac solution

TL;DR

This paper develops an electromagnetic analog of the Kerr-Newman black hole solution using Minkowski's formulation, modeling a rotating charge distribution in a medium with inhomogeneous refractive index and frame dragging effects.

Contribution

It introduces a novel electromagnetic analog of the Kerr-Newman solution based on Minkowski's moving media formulation, linking gravitational and electromagnetic phenomena.

Findings

Analog system involves charges and currents within a spinning disk

The medium exhibits inhomogeneous refractive index and frame dragging

The system rotates at half the angular velocity of the charge

Abstract

An electromagnetic analog of the Kerr-Newman solution in general relativity is derived, based on Minkowski's formulation for electromagnetic fields in moving media. The equivalent system is a distribution of charges and currents largely localized within a spinning disk of radius a. This occurs in a rotating medium of inhomogeneous index of refraction and "frame dragging" at exactly half the angular velocity of the electrical charge.