Conformastationary disk-haloes in Einstein-Maxwell gravity

TL;DR

This paper derives an exact, asymptotically flat Einstein-Maxwell solution for magnetized disk-haloes with a conformastationary metric, analyzing its physical properties and singularity structure.

Contribution

It presents a new exact solution for magnetized disk-haloes in Einstein-Maxwell gravity using a generalized Kuzmin potential, with detailed physical characterization.

Findings

Solution is asymptotically flat and free of singularities

Physical quantities exhibit reasonable behavior

Uses a generalized Laplace's equation solution

Abstract

An exact solution of the Einstein-Maxwell field equations for a conformastationary metric with magnetized disk-haloes sources is worked out in full. The characterization of the nature of the energy momentum tensor of the source is discussed. All the expressions are presented in terms of a solution of the Laplace's equation. A "generalization" of the Kuzmin solution of the Laplace's equations is used as a particular example. The solution obtained is asymptotically flat in general and turns out to be free of singularities. All the relevant quantities show a reasonable physical behaviour.