Gravitational waves with torsion in 3D

TL;DR

This paper investigates exact vacuum solutions describing gravitational waves with torsion in three-dimensional gravity, extending known solutions in general relativity to include torsion effects.

Contribution

It introduces new exact solutions for gravitational waves with torsion in 3D gravity, generalizing plane-fronted waves to include torsion and matter effects.

Findings

New exact vacuum solutions with torsion in 3D gravity

Generalization of plane-fronted gravitational waves

Inclusion of matter in torsion-based solutions

Abstract

We study gravitational waves with torsion as exact vacuum solutions of three-dimensional gravity with propagating torsion. The new solutions are a natural generalization of the plane-fronted gravitational waves in general relativity with a cosmological constant, in the presence of matter.