Exact relativistic models of conformastatic charged dust thick disks

TL;DR

This paper develops exact relativistic models of charged dust thick disks using conformastatic spacetime and analyzes the motion and stability of test particles within these models.

Contribution

It introduces new relativistic thick disk models based on conformastatic spacetime and extends stability analysis methods for charged dust configurations.

Findings

Models satisfy all energy conditions

Test particle motion analyzed around the disks

Stability of particles against radial perturbations studied

Abstract

We construct relativistic models of charged dust thick disks for a particular conformastatic spacetime through a Miyamoto-Nagai transformation used in Newtonian gravity to model disk like galaxies. Two simple families of thick disk models and a family of thick annular disks based on the field of an extreme Reissner-Nordstr\"om black hole and a Morgan-Morgan-like metric are considered. The electrogeodesic motion of test particles around the structures are analyzed. Also the stability of the particles against radial perturbation is studied using an extension of the Rayleigh criteria of stability of a fluid in rest in a gravitational field. The models built satisfy all the energy conditions.