Gravitational wave memory in conformally flat spacetimes
General Relativity and Quantum Cosmology
2023-05-11 v2 High Energy Physics - Theory
Abstract
We study the gravitational wave memory effect in spacetimes related to flat space by a conformal transformation. The discussion is general but the gravitational wave length scale is assumed to be small compared with the background curvature radius. The general formulas are applied to Friedmann-Robertson-Walker metrics of all spatial curvatures. The effect of new terms stemming from spatial curvature is potentially detectable in future gravitational wave measurements.
Cite
@article{arxiv.2301.07680,
title = {Gravitational wave memory in conformally flat spacetimes},
author = {Niko Jokela and K. Kajantie and Miika Sarkkinen},
journal= {arXiv preprint arXiv:2301.07680},
year = {2023}
}
Comments
27 pages, 1 figure; v2: a new paragraph added at the beginning of Sec. 3, reference to Fig. 1 added in the text, typos corrected, published version