# Exact Solutions in Poincar\'e Gauge Gravity Theory

## TL;DR

This paper derives exact vacuum solutions in Poincaré gauge gravity, revealing black hole solutions with nontrivial torsion within a broad class of quadratic models.

## Contribution

It provides the first explicit exact solutions for quadratic Poincaré gauge gravity models with general parity invariants, extending the understanding of black holes with torsion.

## Key findings

- Constructed black hole solutions with torsion.
- Solutions are deformations of de Sitter geometry.
- Models include all parity-even and parity-odd invariants.

## Abstract

In the framework of the gauge theory based on the Poincar\'e symmetry group, the gravitational field is described in terms of the coframe and the local Lorentz connection. Considered as gauge field potentials, they give rise to the corresponding field strength which are naturally identified with the torsion and the curvature on the Riemann--Cartan spacetime. We study the class of quadratic Poincar\'e gauge gravity models with the most general Yang--Mills type Lagrangian which contains all possible parity-even and parity-odd invariants built from the torsion and the curvature. Exact vacuum solutions of the gravitational field equations are constructed as a certain deformation of de Sitter geometry. They are black holes with nontrivial torsion.