Static spherically symmetric solutions for conformal gravity in three dimensions

TL;DR

This paper derives static spherically symmetric solutions in three-dimensional conformal gravity, including black holes and wormholes, revealing their conformal relationships and construction methods.

Contribution

It introduces new static solutions in 3D conformal gravity, including black holes and wormholes, and analyzes their conformal properties and construction techniques.

Findings

Black hole solutions are asymptotically constant curvature spacetimes.

Wormholes are constructed via conformal matching of black holes with the same mass.

Solutions include black holes and wormholes within conformal gravity in three dimensions.

Abstract

Static spherically symmetric solutions for conformal gravity in three dimensions are found. Black holes and wormholes are included within this class. Asymptotically the black holes are spacetimes of arbitrary constant curvature, and they are conformally related to the matching of different solutions of constant curvature by means of an improper conformal transformation. The wormholes can be constructed from suitable identifications of a static universe of negative spatial curvature, and it is shown that they correspond to the conformal matching of two black hole solutions with the same mass.