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

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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.