@Article{AraujoFilho_etal2023, author="Araujo Filho, A. A. and Nascimento, J. R. and Petrov, A. Y. and Porf{\'i}rio, P. J.", title="Vacuum solution within a metric-affine bumblebee gravity", journal="Physical Review D", year="2023", publisher="Amer Physical Soc", volume="108", number="8", pages="085010--13pp", abstract="We consider a metric-affine extension to the gravitational sector of the Standard Model extension for the Lorentz-violating coefficients u and s(mu nu). The general results, which are applied to a specific model called metric-affine bumblebee gravity, are obtained. A Schwarzschild-like solution, incorporating effects of the Lorentz symmetry breaking through the coefficient X = xi b(2), is found. Furthermore, a complete study of the geodesic trajectories of particles is accomplished in this background, emphasizing the departure from general relativity. We also compute the advance of Mercury{\textquoteright}s perihelion and the deflection of light within the context of the weak-field approximation, and we verify that there exist two new contributions ascribed to the Lorentz symmetry breaking. As a phenomenological application, we compare our theoretical results with observational data in order to estimate the coefficient X.", optnote="WOS:001151350300001", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5932), last updated on Wed, 14 Feb 2024 07:40:19 +0000", issn="2470-0010", doi="10.1103/PhysRevD.108.085010", opturl="https://arxiv.org/abs/2211.11821", opturl="https://doi.org/10.1103/PhysRevD.108.085010", language="English" }