Weak Deflection Angle by Kalb-Ramond Traversable Wormhole in Plasma and Dark Matter Mediums

Abstract

This paper is devoted to computing the weak deflection angle for the Kalb-Ramond traversable wormhole solution in plasma and dark matter mediums by using the method of Gibbons and Werner. To acquire our results, we evaluate Gaussian optical curvature by utilizing the Gauss-Bonnet theorem in the weak field limits. We also investigate the graphical influence of the deflection angle alpha with respect to the impact parameter sigma and the minimal radius r(0) in the plasma medium. Moreover, we derive the deflection angle by using a different method known as the Keeton and Petters method. We also examine that if we remove the effects of plasma and dark matter, the results become identical to that of the non-plasma case.