# Generalized pp waves in Poincar\'e gauge theory

## TL;DR

This paper constructs a new family of exact vacuum solutions with torsion in Poincaré gauge theory, extending the classical pp waves of general relativity to include torsion effects.

## Contribution

It introduces generalized pp wave solutions with torsion in Poincaré gauge theory, expanding the set of known exact solutions beyond general relativity.

## Key findings

- Exact vacuum solutions with torsion are derived.
- For some solutions, the metric is determined by torsion.
- The solutions generalize classical pp waves to include torsion effects.

## Abstract

Starting from the generalized pp waves that are exact vacuum solutions of general relativity with a cosmological constant, we construct a new family of exact vacuum solutions of Poincar\'e gauge theory, the generalized pp waves with torsion. The ansatz for torsion is chosen in accordance with the wave nature of the solutions. For a subfamily of these solutions, the metric is dynamically determined by the torsion.