Static wormholes in vacuum for conformal gravity

TL;DR

This paper presents a new static vacuum wormhole solution in conformal gravity, revealing unique properties like variable time flow and horizons, achieved through matching Einstein spacetimes via improper conformal transformations.

Contribution

It introduces a novel static vacuum wormhole solution in conformal gravity, characterized by a single parameter and matching different Einstein spacetimes.

Findings

The wormhole connects two static homogeneous universes.

Time runs at different rates on each side of the wormhole.

The solution can develop a cosmological horizon depending on parameters.

Abstract

A static spherically symmetric wormhole solution for conformal gravity in vacuum is found. The solution possesses a single integration constant which determines the size of the neck connecting two static homogeneous universes of constant spatial curvature. Time runs at different rates on each side of the neck, and depending on the value of the parameter, the wormhole can develop a cosmological horizon only at one side. It is shown that the wormholes correspond to the matching of different Einstein spacetimes by means of improper conformal transformations.