Asymptotic symmetry algebra of conformal gravity

TL;DR

This paper computes the asymptotic symmetry algebras of conformal gravity, revealing a five-dimensional algebra under certain boundary conditions that leads to solutions with non-zero charges.

Contribution

It classifies asymptotic symmetry algebras in conformal gravity under more general boundary conditions than Einstein gravity.

Findings

Identifies a five-dimensional algebra for non-trivial boundary conditions

Classifies possible asymptotic symmetry algebras in conformal gravity

Finds solutions with non-vanishing charges

Abstract

We compute asymptotic symmetry algebras of conformal gravity. Due to more general boundary conditions allowed in conformal gravity in comparison to those in Einstein gravity, we can classify the corresponding algebras. The highest algebra for non-trivial boundary conditions is five dimensional and it leads to global geon solution with non-vanishing charges.