Charged C-metric in conformal gravity

TL;DR

This paper presents an exact charged C-metric solution in conformal gravity, connecting it to known solutions in Einstein gravity and analyzing its domain structure.

Contribution

It introduces a new exact charged C-metric solution in conformal gravity and explores its relation to existing Einstein and Mannheim-Kazanas metrics.

Findings

The solution reduces to Mannheim-Kazanas metric in a limit.

It generalizes the (Anti-)de Sitter C-metric within conformal gravity.

The metric's domain structure is analyzed in static coordinates.

Abstract

Using a C-metric-type ansatz, we obtain an exact solution to conformal gravity coupled to a Maxwell electromagnetic field. The solution resembles a C-metric spacetime carrying an electromagnetic charge. The metric is cast in a factorised form which allows us to study the domain structure of its static coordinate regions. This metric reduces to the well-known Mannheim-Kazanas metric under an appropriate limiting procedure, and also reduces to the (Anti-)de Sitter C-metric of Einstein gravity for a particular choice of parameters.