# Gravitational Wave Polarization and Test Particles

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration shows how test particles move when a gravitational wave passes them. The wave is perpendicular to the plane of the particles. The two polarizations are "plus" polarization and "cross" polarization, 45° apart since gravitons are spin-2 particles.

Contributed by: Joel Frederico (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

This Demonstration closely follows S. Carroll, *Spacetime and Geometry: An Introduction to General Relativity*, San Francisco: Benjamin Cummings, 2003. The details remain coded with the solution given for geodesic deviation. The solution is in transverse traceless (TT) gauge and represents a wave in the direction, with the particles in the - plane. The test particles are close enough to approximate a locally-flat (Minkowski) metric and are assumed to be non-relativistic () at all times.

## Permanent Citation

"Gravitational Wave Polarization and Test Particles"

http://demonstrations.wolfram.com/GravitationalWavePolarizationAndTestParticles/

Wolfram Demonstrations Project

Published: March 7 2011