Extended Reissner-Nordstr\"om solutions sourced by dynamical torsion

TL;DR

This paper presents a new exact vacuum solution in Poincaré Gauge theory with massive torsion, revealing a Reissner-Nordström-like geometry influenced by a spin charge, extending previous massless torsion solutions.

Contribution

It introduces the first static, spherically symmetric solution with massive torsion in Poincaré Gauge theory, generalizing known massless torsion configurations.

Findings

Reissner-Nordström-like geometry with spin charge

Compatibility with cosmological constant and U(1) fields

Extension of massless torsion solutions to massive case

Abstract

We find a new exact vacuum solution in the framework of the Poincar\'e Gauge field theory with massive torsion. In this model, torsion operates as an independent field and introduces corrections to the vacuum structure present in General Relativity. The new static and spherically symmetric configuration shows a Reissner-Nordstr\"om-like geometry characterized by a spin charge. It extends the known massless torsion solution to the massive case. The corresponding Reissner-Nordstr\"om-de Sitter solution is also compatible with a cosmological constant and additional U(1) gauge fields.