Siklos waves with torsion in 3D

TL;DR

This paper introduces a new class of exact torsion wave solutions in three-dimensional gravity with a cosmological constant, extending Siklos waves to include propagating torsion and analyzing their asymptotic properties.

Contribution

It constructs exact torsion wave solutions in 3D gravity with a cosmological constant, generalizing Siklos waves to include propagating torsion modes.

Findings

Torsion waves asymptotically resemble anti-de Sitter geometry.

Identified asymptotic conditions leading to conformal symmetry.

Extended Siklos wave solutions to include torsion in 3D gravity.

Abstract

Starting from the Siklos waves in general relativity with a cosmological constant, interpreted as gravitational waves on the anti-de Sitter background, a new class of exact torsion waves is constructed in the framework of three-dimensional gravity with propagating torsion. In the asymptotic limit, the geometry of torsion waves takes the anti-de Sitter form. In the sector with massless torsion modes, we found a set of asymptotic conditions that leads to the conformal asymptotic symmetry.