Black hole solutions in four-dimensional topological gravity

TL;DR

This paper investigates spherically symmetric solutions in a four-dimensional topological gravity theory derived from a Poincaré gauge theory, exploring its properties, degrees of freedom, and conformal behavior.

Contribution

It introduces a novel four-dimensional topological gravity model based on a Yang-Mills formulation of the Poincaré group, extending lower-dimensional models.

Findings

Identified spherically symmetric solutions in the theory

Analyzed perturbative degrees of freedom

Examined behavior under conformal transformations

Abstract

We study spherically symmetric solutions of a four-dimensional theory of gravity with a topological action, which was constructed as a Yang-Mills theory of the Poincar\'e group and can be considered a generalization to higher dimensions of well-known two-dimensional models. We also discuss the perturbative degrees of freedom and the properties of the theory under conformal transformations.