TY - JOUR AU - Amarilo, K. M. AU - Ferreira Filho, M. B. AU - Araujo Filho, A. A. AU - Reis, J. A. A. S. PY - 2024 DA - 2024// TI - Gravitational waves effects in a Lorentz-violating scenario T2 - Phys. Lett. B JO - Physics Letters B SP - 138785 EP - 7pp VL - 855 PB - Elsevier KW - Gravitational waves KW - Lorentz symmetry breaking KW - Polarization states KW - Quadrupole term AB - This paper focuses on how the production and polarization of gravitational waves are affected by spontaneous Lorentz symmetry breaking, which is driven by a self-interacting vector field. Specifically, we examine the impact of a smooth quadratic potential and a non-minimal coupling, discussing the constraints and causality features of the linearized Einstein equation. To analyze the polarization states of a plane wave, we consider a fixed vacuum expectation value (VEV) of the vector field. Remarkably, we verify that a space-like background vector field modifies the polarization plane and introduces a longitudinal degree of freedom. In order to investigate the Lorentz violation effect on the quadrupole formula, we use the modified Green function. Finally, we show that the space-like component of the background field leads to a third-order time derivative of the quadrupole moment, and the bounds for the Lorentz-breaking coefficients are estimated as well. SN - 0370-2693 UR - https://arxiv.org/abs/2307.10937 UR - https://doi.org/10.1016/j.physletb.2024.138785 DO - 10.1016/j.physletb.2024.138785 LA - English N1 - WOS:001257664300001 ID - Amarilo_etal2024 ER -