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General Relativity and Quantum Cosmology

arXiv:2111.07352 (gr-qc)
[Submitted on 14 Nov 2021 (v1), last revised 23 Mar 2022 (this version, v3)]

Title:Polarization Modes of Gravitational Waves in Palatini Horndeski theory

Authors:Yu-Qi Dong, Yu-Xiao Liu
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Abstract:In this paper, the polarization modes of gravitational waves in Horndeski gravity are studied under the Palatini formalism. After obtaining the linearized equation of perturbations in Minkowski background, we find that the polarization modes of gravitational waves depend on the selection of the theoretical parameters. The polarization modes can be divided into quite rich cases by parameters. In all cases of parameter selection, there are $+$ and $\times$ modes propagating at the speed of light but no vector modes. The only difference from general relativity is scalar modes, especially the scalar degrees of freedom can be 0, 1 or 2 in different cases. The appropriate parameter cases can be expected to be selected in the detection of gravitational wave polarization modes by Lisa, Taiji and TianQin in the future.
Comments: 23 pages, 1 figure, 1 table
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.07352 [gr-qc]
  (or arXiv:2111.07352v3 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.2111.07352
Journal reference: Phys.Rev.D 105 (2022) 6, 064035
Related DOI: https://doi.org/10.1103/PhysRevD.105.064035

Submission history

From: Yu-Xiao Liu [view email]
[v1] Sun, 14 Nov 2021 14:12:50 UTC (96 KB)
[v2] Sat, 20 Nov 2021 15:11:25 UTC (97 KB)
[v3] Wed, 23 Mar 2022 09:21:32 UTC (101 KB)
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