Spherically symmetric solutions in four-dimensional Poincar\'e gravity with non-trivial torsion

TL;DR

This paper explores spherically symmetric solutions in a four-dimensional Poincaré gauge gravity theory with non-trivial torsion, extending known models and analyzing perturbations around flat spacetime.

Contribution

It classifies spherically symmetric solutions in a novel four-dimensional Poincaré gravity model with topological action and examines perturbative excitations.

Findings

Classification of spherically symmetric solutions

Analysis of perturbative excitations around flat spacetime

Extension of two-dimensional gravity models to four dimensions

Abstract

We study a four-dimensional gauge theory of the Poincar\'e group with topological action which generalizes some well-known two-dimensional gravity models. We classify the spherically symmetric solutions and discuss the perturbative propagation of excitations around flat spacetime.