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Weak Deflection Angle by Casimir Wormhole Using Gauss-Bonnet Theorem and Its Shadow
: Received: 11 January 2020 / Approved: 12 January 2020 / Online: 12 January 2020 (16:06:05 CET)
: Received: 20 March 2020 / Approved: 23 March 2020 / Online: 23 March 2020 (03:48:02 CET)
A peer-reviewed article of this Preprint also exists.
Journal reference: Modern Physics Letters A 2020
In this paper, we calculate the deflection angle of photon by Casimir wormhole in the weak field limit approximation. First we calculate Gaussian optical curvature with the help of optical spacetime geometry and so we use the Gauss-Bonnet theorem on the Gaussian optical metric. Then we find the deflection angle of photon by Casimir wormhole. Moreover, we calculate the photon's deflection angle in the presence of plasma medium and we also see the graphical nature of deflection angle in both cases. Second, we move towards the shadow of Casimir wormhole. After the observations of Event Horizon Telescope, the study of shadow become very important so that we plot the shapes of shadow of Casimir wormhole, and we calculate the photon geodesic around the Casimir wormhole.
relativity and gravitation; wormhole; gravitational lensing; weak deflection angle; Gauss-Bonnet theorem; plasma medium; shadow
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