Colliding Wave Solutions in a Symmetric Non-metric Theory

TL;DR

This paper presents a method for generating and analyzing the collision of gravitational and torsion waves in a non-metric theory, showing conditions under which singularities form or are avoided during wave interactions.

Contribution

It introduces a new method to model non-linear wave collisions in a non-metric framework, with explicit examples demonstrating singularity formation and avoidance.

Findings

Strong mutual focusing of gravitational waves can avoid singularities.

Pure torsion wave collisions lead to curvature singularities.

Explicit solutions illustrate wave interaction behaviors.

Abstract

A method is given to generate the non-linear interaction (collision) of linearly polarized gravity coupled torsion waves in a non-metric theory. Explicit examples are given in which strong mutual focussing of gravitational waves containing impulsive and shock components coupled with torsion waves does not result in a curvature singularity. However, the collision of purely torsion waves displays a curvature singularity in the region of interaction.