# Energy-momentum and angular-momentum of a gyratonic pp-waves spacetime

## TL;DR

This paper calculates the energy-momentum and angular-momentum of gyratonic pp-wave spacetimes using Teleparallel Gravity, revealing relations between particle motion and gravitational wave properties.

## Contribution

It provides explicit expressions for energy-momentum and angular-momentum in gyratonic pp-waves within Teleparallel Gravity, enhancing understanding of their physical properties.

## Key findings

- Explicit formulas for energy-momentum and angular-momentum.
- Relation between particle angular-momentum and gravitational wave angular-momentum.
- Insights into particle motion in gyratonic pp-wave spacetime.

## Abstract

Gyratonic plane fronted gravitational waves are exact solutions of Einstein's field equations, which correspond to gravitational waves that carry momentum and angular-momentum. Using the definitions of the Hamiltonian formulation of the Teleparallel Equivalent of General Relativity, we explicitly evaluate the general expressions of the energy-momentum and angular-momentum of these space-times. In order to better understand the additional properties of these gravitational waves, we consider the motion of particles in this space-time and obtain an interesting relation between the angular-momentum of the particles and that of the gravitational waves.