Shadow and weak gravitational lensing for Ellis-Bronnikov wormhole*

Abstract

In this work we have investigated the gravitational weak lensing and shadow of the Ellis-Bronnikov wormhole. First, we have studied the photon motion in plasma medium and wormhole shadow. It has been shown that the radius of the photon sphere of the Ellis-Bronnikov wormhole and the size of the wormhole shadow becomes larger under the influence of the parameter $a$. The upper limit of the parameter $a$ in the Ellis-Bronnikov wormhole spacetime has been obtained. Second, we have investigated the weak gravitational lensing for the Ellis-Bronnikov wormhole and have calculated the deflection angle for uniform and non uniform plasma cases. It has been shown that the value of the deflection angle for uniform plasma increased with the increase of the plasma parameter and for non uniform plasma vice versa. It has been also indicated that under influence of the parameter $a$ the values of the deflection angles for two cases are decreased. Finally, we have investigated the magnification of image brightness using the deflection angle of the light rays around the wormhole in Ellis-Bronnikov theory.