Cylindrically-Symmetric Solutions in Conformal Gravity

TL;DR

This paper explores cylindrically-symmetric solutions in Conformal Gravity, presenting new vacuum, Melvin-like, and cosmic string solutions, analyzing their properties such as energy per unit length.

Contribution

It introduces several new cylindrically-symmetric solutions in Conformal Gravity, including generalizations of known models and analyzes their physical characteristics.

Findings

Melvin-like solutions have finite energy per unit length

String-like solutions do not have finite energy

New solutions extend understanding of cylindrically-symmetric configurations

Abstract

Cylindrically-symmetric solutions in Conformal Gravity are investigated and several new solutions are presented and discussed. Among them, a family of vacuum solutions, generalizations of the Melvin solution and cosmic strings of the Abelian Higgs model. The Melvin-like solutions have finite energy per unit length, while the string-like solutions do not.