Exact String-Like Solutions in Conformal Gravity

TL;DR

This paper derives exact cylindrically symmetric solutions in Conformal Gravity, describing the exterior fields of line sources and analyzing null geodesics to understand light trajectories.

Contribution

It provides the complete family of solutions for cylindrically symmetric vacuum equations with boost symmetry in Conformal Gravity, expanding the understanding of such spacetimes.

Findings

Complete family of solutions for cylindrically symmetric vacuum equations

Analysis of null geodesics in these solutions

Descriptions of exterior gravitational fields of line sources

Abstract

The cylindrically-symmetric static vacuum equations of Conformal Gravity are solved for the case of additional boost symmetry along the axis. We present the complete family of solutions which describe the exterior gravitational field of line sources in Conformal Gravity. We also analyze the null geodesics in these spaces.