Modifications to Plane Gravitational Waves from Minimal Lorentz Violation
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 Lore...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-10-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/10/1318 |
| _version_ | 1811300317072982016 |
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| author | Rui Xu |
| author_facet | Rui Xu |
| author_sort | Rui Xu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T06:50:20Z |
| format | Article |
| id | doaj.art-4d868045a7b145a2a241de23d185c617 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-13T06:50:20Z |
| publishDate | 2019-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-4d868045a7b145a2a241de23d185c6172022-12-22T02:57:26ZengMDPI AGSymmetry2073-89942019-10-011110131810.3390/sym11101318sym11101318Modifications to Plane Gravitational Waves from Minimal Lorentz ViolationRui Xu0Kavli Institute for Astronomy and Astrophysics, Peking University, Beijing 100871, ChinaGeneral 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.https://www.mdpi.com/2073-8994/11/10/1318gravitational waveslorentz violationstandard-model extensiongeodesic deviation |
| spellingShingle | Rui Xu Modifications to Plane Gravitational Waves from Minimal Lorentz Violation Symmetry gravitational waves lorentz violation standard-model extension geodesic deviation |
| title | Modifications to Plane Gravitational Waves from Minimal Lorentz Violation |
| title_full | Modifications to Plane Gravitational Waves from Minimal Lorentz Violation |
| title_fullStr | Modifications to Plane Gravitational Waves from Minimal Lorentz Violation |
| title_full_unstemmed | Modifications to Plane Gravitational Waves from Minimal Lorentz Violation |
| title_short | Modifications to Plane Gravitational Waves from Minimal Lorentz Violation |
| title_sort | modifications to plane gravitational waves from minimal lorentz violation |
| topic | gravitational waves lorentz violation standard-model extension geodesic deviation |
| url | https://www.mdpi.com/2073-8994/11/10/1318 |
| work_keys_str_mv | AT ruixu modificationstoplanegravitationalwavesfromminimallorentzviolation |