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 (GBT). 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.
Highlights
Idea of wormhole was first suggested by Einstein and Rosen in 1935
The metric of Ellis wormholes was first discussed in [5] and investigation of Ellis wormholes in General Relativity (GR) went back to the basic works of Morris and Thorne in 1988 [6] where they presented a traversable wormhole geometry
Casimir wormhole is a type of traversable wormhole that can be generate by using Casimir energy
Summary
Idea of wormhole was first suggested by Einstein and Rosen in 1935. This is known as Einstein-Rosen bridges [1]. We calculate the deflection angle of light (DAL) from Casimir wormhole in weak field limits (WFL). First we calculate the Gaussian optical metric using optical geometry of the Casimir wormhole and we apply the Gauss-Bonnet theorem (GBT) [87]: α=−. Different authors use this technique to calculate DAL by various black holes and wormholes spacetime ([88]-[97]). Main purpose of the paper is to calculate the deflection angle of Casimir wormhole in non-plasma and plasma medium and find shadow cast by Casimir wormhole.
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