# Gravitational waves in Poincar\'e gauge gravity theory

## TL;DR

This paper derives exact gravitational wave solutions within a broad class of quadratic Poincaré gauge gravity models, incorporating torsion and curvature invariants, including parity odd terms, inspired by electromagnetic wave properties.

## Contribution

It provides the first explicit solutions for gravitational waves in a comprehensive quadratic Poincaré gauge gravity framework, extending previous models.

## Key findings

- Exact gravitational wave solutions derived
- Includes all linear and quadratic invariants, parity odd terms
- Wave properties patterned after electromagnetic waves

## Abstract

We derive the exact gravitational wave solutions in a general class of quadratic Poincar\'e gauge gravity models. The Lagrangian includes all possible linear and quadratic invariants constructed from the torsion and the curvature, including the parity odd terms. The ansatz for the gravitational wave configuration and the properties of the wave solutions are patterned following the corresponding ansatz and the properties of the plane-fronted electromagnetic wave.