A charged rotating cylindrical shell

TL;DR

This paper constructs a spacetime model with a charged rotating cylindrical shell, analyzing its properties, energy conditions, and particle trajectories, revealing the presence of closed timelike curves and providing insights into rotating charged systems.

Contribution

It presents a novel exact spacetime solution with a charged rotating cylindrical shell connecting specific interior and exterior geometries.

Findings

Contains closed timelike curves.

Provides expressions for particle trajectories and angular velocity.

Analyzes energy conditions of the spacetime.

Abstract

We give an example of a spacetime having an infinite thin rotating cylindrical shell constituted by a charged perfect fluid as a source. As the interior of the shell the Bonnor--Melvin universe is considered, while its exterior is represented by Datta--Raychaudhuri spacetime. We discuss the energy conditions and we show that our spacetime contains closed timelike curves. Trajectories of charged test particles both inside and outside the cylinder are also examined. Expression for the angular velocity of a circular motion inside the cylinder is given.