Gravitational Lensing and Deflection Angle by generalised Ellis-Bronnikov wormhole Embedded in Warped Braneworld Background

Abstract: Null-trajectories, deflection angle, and gravitational lensing are studied in the background spacetime of the generalised Ellis-Bronnikov wormholes and it's five dimensional version embedded in a warped background. We show that these wormholes can be distinguished through the study of gravitational lensing. In particular, the difference in deflection angles, radius of the Einstein rings, and the image positions are quantified by the wormhole parameters -- the steepness constant ($m\geq 2$), the throat radius, and `$\delta$' that characterizes the warping in extra dimension. We demonstrate our results analytically with $m=2$ cases and graphically otherwise.