Cylindrically symmetric perfect-fluid universes

TL;DR

This paper investigates exact solutions to Einstein-Maxwell equations for stationary, cylindrically symmetric spacetimes filled with charged perfect fluids, analyzing their properties and providing specific examples for different force conditions.

Contribution

It introduces two classes of solutions for charged perfect-fluid universes with cylindrical symmetry, expanding understanding of their properties and specific cases.

Findings

Two classes of solutions identified and analyzed.

Examples provided for cases with and without Lorentz force.

Insights into the properties of these cylindrically symmetric spacetimes.

Abstract

The aim of this paper is to examine some obtained exact solutions of the Einstein-Maxwell equations, especially their properties from a chronological point of view. Each our spacetime is stationary cylindrically symmetric and it is filled up with an perfect fluid that is electrically charged. There are two classes of solutions and examples of each of them are investigated. We give examples of the first class both for the vanishing as well as for the non-vanishing Lorentz force.