Weak deflection angle by Casimir wormhole using Gauss-bonnet theorem and its shadow

TL;DR

This paper calculates the weak gravitational lensing angle and shadow of a Casimir wormhole using the Gauss-Bonnet theorem, considering effects of plasma medium and wormhole parameters.

Contribution

It introduces a novel calculation of the Casimir wormhole's deflection angle and shadow, incorporating plasma effects and parameter variations.

Findings

Weak deflection angle derived in the presence of plasma.

Shadow behavior varies with the parameter 'a'.

Gauss-Bonnet theorem effectively used for lensing calculations.

Abstract

In this paper, we calculate the weak deflection angle by Casimir wormhole and its shadow. To do so, we derive the Gaussian optical curvature and use the Gauss-Bonnet theorem. Then we find the deflection angle by Casimir wormhole in weak field limits. Moreover, we obtain the weak deflection angle in the presence of plasma medium and see the effect of the plasma medium on the weak deflection angle. Moreover, we study a shadow of Casimir wormhole and we plot and discuss them. We show the shadow of Casimir wormhole's behavior when changing the value of $a$.