Exact relativistic models of perfect fluid disks in a magnetic field

TL;DR

This paper constructs exact models of thin, perfect fluid disks in a magnetic field using a specific method, analyzing their properties and the motion of charged particles within them.

Contribution

It introduces a new class of exact relativistic disk models incorporating magnetic fields, based on the magnetic Reissner-Nordstrom metric, satisfying energy conditions.

Findings

Magnetic field influences disk matter properties

Charged test particle motion around disks is characterized

Models satisfy all energy conditions

Abstract

Using the well-known ``displace, cut and reflect'' method we construct thin disks made of a perfect fluid in presence of a magnetic field. The models are based in a magnetic Reissner-Nordstrom metric of Einstein-Maxwell equations for a conformastatic spacetime. The influence of the magnetic field on the matter properties of the disk are analyzed. We also study the motion of charged test particles around the disks. We construct models of perfect fluid disks satisfying all the energy conditions.