Work

Gravitational waves in a minimal gravitational SME

Year: 2026

Type: article

Abstract: In this work, we investigate the generation and propagation of gravitational waves within a minimal gravitational SME (Standard Model Extension). Starting from the modified graviton dispersion relation derived in the linearized gravity sector, we analyze the polarization properties of gravitational waves in the transverse–traceless tensor sector. We then construct the retarded Green function associated with the Lorentz–violating wave operator, explicitly verifying the causal structure of the theory and identifying the modified propagation speeds of the tensorial modes. In addition, we study the source–induced emission of gravitational waves from a binary black–hole system. We show that the gravitational waveform preserves the standard quadrupolar amplitude and polarization structure, while Lorentz–violating effects enter exclusively through a modification of the retarded time. As a result, the spatial components of the metric perturbation h ij ( t, r ) acquire a phase shift determined by the SME coefficients. Finally, we estimate phenomenological bounds to the model under consideration.

Source: Physics Letters B

DOI: 10.1016/j.physletb.2026.140350

Authors: A.A. Araújo Filho, N. Heidari, Iarley P. Lobo

Institutions: Khazar University, Universidade Federal da Paraíba, Universidade Federal de Campina Grande, Damghan University

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: European Cooperation in Science and Technology, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação de Apoio à Pesquisa do Estado da Paraíba