Metric Solutions in Torsionless Gauge for Vacuum Conformal Gravity

TL;DR

This paper investigates vacuum solutions in torsionless gauge for vacuum conformal gravity, deriving exact solutions and discussing their implications within the metric-torsional conformal gravitational framework.

Contribution

It introduces specific vacuum solutions in torsionless gauge for conformal gravity, expanding understanding of their structure and properties.

Findings

Two types of exact solutions are found.

The torsionless limit of the metric-torsional conformal gravitational equations is analyzed.

Discussion on the general properties of these solutions is provided.

Abstract

In a recent paper we have established the form of the metric-torsional conformal gravitational field equations, and in the present paper we study their vacuum configurations; we will consider a specific situation that will enable us to look for the torsionless limit: two types of special exact solutions are found eventually. A discussion on general remarks will follow.