Differential Form Approach for Stationary Axisymmetric Maxwell Fields in General Relativity

TL;DR

This paper develops a differential form approach to analyze stationary axisymmetric Maxwell fields in general relativity, enabling new solution generation and source modeling through a formalism that treats electromagnetic fields as anisotropic fluids.

Contribution

It introduces a novel differential form framework for stationary axisymmetric Maxwell fields in general relativity, facilitating solution construction and source analysis.

Findings

Derived electromagnetic sources as thin layers

Constructed new solutions for Maxwell fields

Developed generation techniques for solutions

Abstract

A formulation for stationary axisymmetric electromagnetic fields in general relativity is derived by casting them into the form of an anisotropic fluid. Several simplifications of the formalism are carried out in order to analyze different features of the fields, such as the derivation of electromagnetic sources for the Maxwell field in the form of thin layers, construction of new solutions, and generation techniques.