Conformastationary disk-haloes in Einstein-Maxwell gravity II. The physical interpretation of the halo

TL;DR

This paper models galaxies as rotating disks with magnetised halos using Einstein-Maxwell gravity, deriving exact physical quantities and analyzing charged particle motion to understand galactic halo dynamics.

Contribution

It provides a relativistic model of galaxy halos with magnetic fields, expressing physical quantities in exact form based on solutions to Laplace's equation, including particle motion analysis.

Findings

Physical quantities are expressed in exact form for the model.

Charged particle motion in the halo shows reasonable physical behavior.

The model generalizes known solutions like Kuzmin's to include magnetic effects.

Abstract

The relativistic treatment of galaxies modelled as a rotating disk surrounded by a magnetised material halo is considered. The galactic halo is modelled by a magnetised mass-energy distribution described by the energy-momentum tensor of a general fluid in canonical form. All the dynamics quantities characterising the physical of the halo are expressed in exact form in terms of an arbitrary solution of the Laplace's equation. By way of illustration, a "generalisation" of the Kuzmin solution of the Laplace's equation is used. The motion of a charged particle on the halo region is described. All the relevant quantities and the motion of the charged particle show a reasonable physical behaviour.