Memory effect of the pp waves with torsion

TL;DR

This paper investigates the behavior of test particles in pp-wave spacetimes with torsion, revealing velocity memory effects influenced by torsion mass and a rotation effect that may be observable.

Contribution

It introduces the analysis of particle motion in torsioned pp-wave spacetimes, highlighting velocity memory effects and a rotation phenomenon independent of torsion mass.

Findings

Velocity memory effect exists in specific directions.

Rotation of particles occurs in angular direction.

Rotation effect may be observable regardless of torsion mass.

Abstract

We analyze the motion of test particles in the spacetime of the plane-fronted (pp) waves with torsion in four-dimensions. We conclude that there is a velocity memory effect in the direction of advanced time and along radial direction, while we have rotation of particles in angular direction. The velocity memory effect in the aforementioned directions is severely affected by the value of the tordion mass and probably it is not observable. A very interesting, probably observable effect, stems from the rotation, which is insensitive to the tordion mass.