Gravitomagnetic induction in the field of a gravitational wave
General Relativity and Quantum Cosmology
2022-09-16 v2
Abstract
The interaction of a plane gravitational wave with test masses can be described in the proper detector frame, using Fermi coordinates, in terms of a gravitoelectric and a gravitomagnetic field. We use this approach to calculate the displacements produced by gravitational waves up to second order in the distance parameter and, in doing so, we emphasize the relevance of the gravitomagnetic contribution related to gravitational induction. In addition, we show how this approach can be generalized to calculate displacements up to arbitrary order.
Keywords
Cite
@article{arxiv.2204.08914,
title = {Gravitomagnetic induction in the field of a gravitational wave},
author = {Matteo Luca Ruggiero},
journal= {arXiv preprint arXiv:2204.08914},
year = {2022}
}
Comments
16 pages, LaTeX, 4 eps figures; revised to match the version accepted for publication by General Relativity and Gravitation