Effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities

摘要: In this paper, we analyze the deflection angle of light by Brane-Dicke wormhole in weak field limit approximation to find effect coupling parameter on gravitation lensing. For purpose, consider new geometric techniques, i.e., Gauss-Bonnet theorem and optical geometry order calculate angle. Furthermore, verify our results considering most familiar geodesic technique. Moreover, establish quantum corrected metric replacing classical with Bohmian trajectories, whose matter source anisotropic pressure are influenced effects its Then, naked singularities compare result wormhole. Such a novel lensing feature might serve as way detect wormholes, also evidence theory.