Weak deflection angle by Kalb-Ramond Traversable Wormhole in Plasma and Dark Matter Mediums

TL;DR

This paper calculates the weak deflection angle of a Kalb-Ramond traversable wormhole in plasma and dark matter environments using geometric methods, revealing how mediums influence gravitational lensing.

Contribution

It introduces a novel analysis of wormhole lensing in plasma and dark matter mediums using the Gibbons-Werner method and compares results with alternative approaches.

Findings

Deflection angle depends on impact parameter and minimal radius.

Medium effects alter the deflection angle significantly.

Results revert to non-medium case when plasma and dark matter are removed.

Abstract

This paper is devoted to compute the weak deflection angle for 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 deflection angle $\tilde{\alpha}$ with respect to the impact parameter $\sigma$ and minimal radius $r_0$ in plasma medium. Moreover, we derive the deflection angle by using different method known as 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 non-plasma case.