Linearized Torsion Waves in a Tensor-Tensor Theory of Gravity

TL;DR

This paper explores linearized torsion waves in a tensor-tensor gravity theory, revealing polarization modes and gauge transformations in non-Riemannian geometries, advancing understanding of gravitational torsion phenomena.

Contribution

It introduces a new linearized tensor-tensor gravity model with torsion, deriving gauge transformations and identifying polarization modes of torsion waves in non-Riemannian backgrounds.

Findings

Discovery of torsion wave solutions in Minkowski spacetime

Identification of longitudinal and transverse polarizations

Derivation of gauge transformations in non-Riemannian geometries

Abstract

We investigate a linearized tensor-tensor theory of gravity with torsion and a perturbed torsion wave solution is discovered in background Minkowski spacetime with zero torsion. Furthermore, gauge transformations of any perturbed tensor field are derived in general background non-Riemannian geometries. By calculating autoparallel deviations, both longitudinal and transverse polarizations of the torsion wave are discovered.