Work

Gauge-Theoretical Method in Solving Zero-Curvature Equations: II. Non-Weyl Class Solutions of the Static Einstein–Maxwell Equations

Year: 2025

Type: article

Abstract: The gauge-theoretical method introduced in our previous paper is applied to solve the axisymmetric and static Einstein–Maxwell equations. We obtain the solutions of the non-Weyl class, where the gravitational and electric or magnetic potentials are not functionally related. In the electrostatic case, we show that the obtained solution coincides with the solution given by Bonnor in 1979. In the magnetostatic case, we present a solution describing the gravitational field created by two magnetically charged masses. In this solution, we present a case in which the Dirac string does not stretch to spatial infinity but lies between the magnetically charged masses.

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/ptaf163

Authors: Takahiro Azuma, Takao Koikawa

Institutions: Dokkyo University, Otsuma Women's University

Language: English

Topic: Relativity and Gravitational Theory

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $979

OpenAlex ID: W4416417104