On a static charged fluid around a magnetized mass

TL;DR

This paper presents a method to generate solutions for a charged fluid around a magnetized mass in Einstein-Maxwell theory, resulting in a new exact solution for a magnetic dipole with a static charged fluid.

Contribution

It introduces a simple procedure to add a charged fluid source to any magnetostatic axially symmetric Einstein-Maxwell solution, producing new exact solutions.

Findings

Constructed a new exact solution for a magnetic dipole with a static charged fluid.

Demonstrated the procedure's applicability to generate solutions from seed spacetimes.

Extended the class of known solutions in Einstein-Maxwell theory.

Abstract

We show that any magnetostatic axially symmetric solution of the Einstein-Maxwell equations can be endowed with a specific charged fluid source of the Polanco et al type via a simple procedure requiring the knowledge of exclusively the magnetostatic seed spacetime. Using this procedure we construct yet another exact solution for a massive magnetic dipole surrounded by a static charged fluid which is different from the Polanco et al metric.