Newman-Penrose Formalism for Gravitational Shock Waves

TL;DR

This paper applies the Newman-Penrose formalism to derive exact solutions for first-order perturbations of fields with spin on gravitational shock wave backgrounds, offering insights into high-energy particle scattering at Planck scale.

Contribution

It introduces a novel application of the Newman-Penrose formalism to gravitational shock waves, providing exact solutions for perturbations with spin.

Findings

Exact solutions for perturbation equations obtained.

Potential application to Planck-scale particle scattering.

Advances understanding of high-energy gravitational interactions.

Abstract

First order perturbations for the fields with spin on the background metric of the gravitational shock waves are discussed. Applying the Newman -- Penrose formalism, exact solutions of the perturbation equations are obtained. For particle physics, this would be one approach to the problem of scattering paticle at Planck energy.