New torsion black hole solutions in Poincar\'e gauge theory

TL;DR

This paper presents new exact static, spherically symmetric vacuum solutions in Poincaré gauge theory with dynamical torsion, revealing Reissner-Nordström-like geometries influenced by torsion fields.

Contribution

It introduces novel black hole solutions in Poincaré gauge theory that incorporate dynamical torsion, extending the understanding of gravitational solutions beyond General Relativity.

Findings

Reissner-Nordström type geometry with torsion-induced Coulomb-like curvature

Existence of generalized Reissner-Nordström-de Sitter solutions with electromagnetic fields and cosmological constant

New exact solutions in Poincaré gauge theory with dynamical massless torsion

Abstract

We derive a new exact static and spherically symmetric vacuum solution in the framework of the Poincar\'e gauge field theory with dynamical massless torsion. This theory is built in such a form that allows to recover General Relativity when the first Bianchi identity of the model is fulfilled by the total curvature. The solution shows a Reissner-Nordstr\"om type geometry with a Coulomb-like curvature provided by the torsion field. It is also shown the existence of a generalized Reissner-Nordstr\"om-de Sitter solution when additional electromagnetic fields and/or a cosmological constant are coupled to gravity.