Radiation from a Classical Harmonic Oscillator

TL;DR

This paper calculates gravitational and electromagnetic radiation from a classical harmonic oscillator, comparing their properties within Brans-Dicke theory and classical electromagnetism, providing explicit formulae and a toy example.

Contribution

It presents explicit formulas for gravitational and electromagnetic radiation from a harmonic oscillator within Brans-Dicke theory and compares their magnitudes.

Findings

Gravitational wave polarizations are explicitly derived.

Electromagnetic dipole and quadrupole powers are calculated.

Comparison shows differences in radiation magnitudes between gravity and electromagnetism.

Abstract

This article presents the calculation of gravitational and electromagnetic radiation emitted from a classical simple harmonic oscillator (SHO). Here we show only the selected formulae and apply them to a toy problem without rigorous derivation. First, we calculate the explicit expressions for the gravitational waves polarizations and then obtain the power radiated away in gravitational waves using Brans-Dicke theory (BD). We also calculate the electromagnetic dipole and quadrupole power emitted by the SHO and compare them with their gravitational counterparts.