Generalized plane waves in Poincar\'e gauge theory of gravity

Understand

A family of exact vacuum solutions, representing generalized plane waves propagating on the (anti-)de Sitter background, is constructed in the framework of Poincar\'e gauge theory.

• The wave dynamics is defined by the general Lagrangian that includes all parity even and parity odd invariants up to the second order in the gauge field strength.
• The structure of the solution shows that the wave metric significantly depends on the spacetime torsion.