A class of colliding waves in metric-affine gravity, nonmetricity and torsion shock waves

TL;DR

This paper introduces a broad class of colliding wave solutions in metric-affine gravity, incorporating nonmetricity and torsion, extending previous solutions with higher-degree polynomial representations.

Contribution

It generalizes the colliding wave concept to metric-affine gravity and extends coordinate representations using Jacobi functions, encompassing standard solutions as special cases.

Findings

Developed a general class of colliding wave solutions with fourth-degree polynomials.

Unified previous second-degree polynomial solutions within a broader framework.

Enhanced the mathematical tools for analyzing wave interactions in complex gravity theories.

Abstract

By using our recent generalization of the colliding waves concept to metric-affine gravity theories, and also our generalization of the advanced and retarded time coordinate representation in terms of Jacobi functions, we find a general class of colliding wave solutions with fourth degree polynomials in metric-affine gravity. We show that our general approach contains the standard second degree polynomials colliding wave solutions as a particular case.