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

Understand

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.