Exact Relativistic Magnetized halos around Rotating Disks

TL;DR

This paper presents the first exact relativistic model of a rotating disk with a magnetized halo, describing the spacetime and electromagnetic fields analytically using harmonic functions, and analyzing charged particle motion.

Contribution

It introduces a novel analytical relativistic model of a magnetized halo around a rotating disk, using harmonic functions to determine all relevant quantities.

Findings

Model is asymptotically flat and energy condition compliant.

All physical quantities are derived exactly from a harmonic function.

Charged particle motion in the halo is characterized.

Abstract

The exact relativistic treatment of a rotating disk surrounded by a magnetized material halo is presented. The features of the halo and disk are described by the distributional energy-momentum tensor of a general fluid in canonical form. All the relevant quantities and the metric and electromagnetic potentials are exactly determined by an arbitrary harmonic function only. For instance, the generalized Kuzmin-disk potential is used. The particular class of solutions obtained is asymptotically flat and satisfies all the energy conditions. Moreover, the motion of a charged particle on the halo is described. As far as we know, this is the first relativistic model describing analytically the magnetized halo of a rotating disk.