Generalized pp waves in Poincar\'e gauge theory

Understand

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.