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Open AccessArticle

Modifications to Plane Gravitational Waves from Minimal Lorentz Violation

by Rui Xu
Kavli Institute for Astronomy and Astrophysics, Peking University, Beijing 100871, China
Symmetry 2019, 11(10), 1318; https://doi.org/10.3390/sym11101318
Received: 11 October 2019 / Revised: 16 October 2019 / Accepted: 18 October 2019 / Published: 21 October 2019
(This article belongs to the Special Issue Symmetry in Special and General Relativity)
General Relativity predicts two modes for plane gravitational waves. When a tiny violation of Lorentz invariance occurs, the two gravitational wave modes are modified. We use perturbation theory to study the detailed form of the modifications to the two gravitational wave modes from the minimal Lorentz-violation coupling. The perturbation solution for the metric fluctuation up to the first order in Lorentz violation is discussed. Then, we investigate the motions of test particles under the influence of the plane gravitational waves with Lorentz violation. First-order deviations from the usual motions are found. View Full-Text
Keywords: gravitational waves; Lorentz violation; standard-model extension; geodesic deviation gravitational waves; Lorentz violation; standard-model extension; geodesic deviation
MDPI and ACS Style

Xu, R. Modifications to Plane Gravitational Waves from Minimal Lorentz Violation. Symmetry 2019, 11, 1318.

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