Cylindrically Symmetric Fields in General Relativity

TL;DR

This paper reviews exact solutions of cylindrically symmetric fields in General Relativity generated by various perfect fluid sources, discussing their properties and highlighting open questions for future research.

Contribution

It provides a comprehensive review of cylindrically symmetric solutions with different fluid sources and identifies key open problems in the field.

Findings

Summary of static, stationary, translating, and collapsing solutions

Discussion of properties of these solutions

Identification of open questions for future research

Abstract

We present a brief review of exact solutions of cylindrical symmetric fields in General Relativity produced by different perfect fluid sources. These sources are assumed static, stationary, translating and collapsing. Properties of these fields are discussed and some important open questions are called the attention for future research.