Modified gravitational wave propagations in linearized gravity with Lorentz and diffeomorphism violations and their gravitational wave constraints
Year: 2025
Type: article
Abstract: The standard model extension (SME) is an effective field theory framework that can be used to study the possible violations of Lorentz symmetry and diffeomorphism invariance in the gravitational interaction. In this paper, we explore both the Lorentz- and diffeomorphism-violating effects on the propagations of gravitational waves in the SME's linearized gravity. It is shown that the violations of Lorentz symmetry and diffeomorphism invariance modify the conventional linear dispersion relation of gravitational waves, leading to anisotropy, birefringence, and dispersion effects in the propagation of gravitational waves. With these modified dispersion relations, we then calculate the dephasing effects due to the Lorentz and diffeomorphism violations in the waveforms of gravitational waves produced by the coalescence of compact binaries. With the distorted waveforms, we perform full Bayesian inference with the help of the open source software bilby on the gravitational wave events of the compact binary mergers in the LIGO-Virgo-KAGRA catalogs GWTC-3. We consider the effects from the operators with the lowest mass dimension $d=2$ and $d=3$ due to the Lorentz and diffeomorphism violations in the linearized gravity. No signature of Lorentz and diffeomorphism violations arsing from the SME's linearized gravity are found for most GW events, which allows us to give a 90% confidence interval for each Lorentz- and diffeomorphism-violating coefficient.
Authors: Qiang Wang, Jian-Ming Yan, Tao Zhu, Wen Zhao
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: National Science and Technology Council, National Science Foundation, National Research Foundation, Ministry of Education, Culture, Sports, Science and Technology, National Natural Science Foundation of China, Academia Sinica, National Research Foundation of Korea, Centre National de la Recherche Scientifique, Ministry of Science and ICT, South Korea, Science and Technology Facilities Council, Australian Research Council, Japan Society for the Promotion of Science, Instituto Nazionale di Fisica Nucleare, National Key Research and Development Program of China, Fundamental Research Funds for the Central Universities, Natural Science Foundation of Zhejiang Province, Fundamental Research Funds for the Provincial Universities of Zhejiang
OpenAlex ID: W4409801971