Gravitational waves without general relativity: A tutorial
Abstract
This tutorial leads the reader through the details of calculating the properties of gravitational waves from orbiting binaries, such as two orbiting black holes. Using analogies with electromagnetic radiation, the tutorial presents a calculation that produces the same dependence on the masses of the orbiting objects, the orbital frequency, and the mass separation as does the linear version of General Relativity (GR). However, the calculation yields polarization, angular distributions, and overall power results that differ from those of GR. Nevertheless, the calculation produces waveforms that are nearly identical to the pre-binary-merger portions of the signals observed by the Laser Interferometer Gravitational-Wave Observatory (LIGO-Virgo) collaboration. The tutorial should be easily understandable by students who have taken a standard upper-level undergraduate course in electromagnetism.
Cite
@article{arxiv.1710.04635,
title = {Gravitational waves without general relativity: A tutorial},
author = {Robert C. Hilborn},
journal= {arXiv preprint arXiv:1710.04635},
year = {2019}
}
Comments
Version 2 of this tutorial adds the integrated orbital phase method of describing chirp signals and a detailed derivation of the interaction of a vector gravitational wave with a LIGO-Virgo interferometer detector