Weak Deflection Angle by Casimir Wormhole Using Gauss-Bonnet Theorem and Its Shadow

Wajiha Javed; Ali Hamza; Ali Övgün

doi:10.20944/preprints202001.0126.v1

Preprint Article Version 1 This version is not peer-reviewed

Weak Deflection Angle by Casimir Wormhole Using Gauss-Bonnet Theorem and Its Shadow

Wajiha Javed ,

Ali Hamza ,

Ali Övgün ^*

Version 1 : Received: 11 January 2020 / Approved: 12 January 2020 / Online: 12 January 2020 (16:06:05 CET)
Version 2 : Received: 20 March 2020 / Approved: 23 March 2020 / Online: 23 March 2020 (03:48:02 CET)

How to cite: Javed, W.; Hamza, A.; Övgün, A. Weak Deflection Angle by Casimir Wormhole Using Gauss-Bonnet Theorem and Its Shadow. Preprints 2020, 2020010126 (doi: 10.20944/preprints202001.0126.v1). Javed, W.; Hamza, A.; Övgün, A. Weak Deflection Angle by Casimir Wormhole Using Gauss-Bonnet Theorem and Its Shadow. Preprints 2020, 2020010126 (doi: 10.20944/preprints202001.0126.v1).

Abstract

Here we calculate the deflection angle of photon by Casimir wormhole in weak limit approximation. First we calculate Gaussian optical curvature with the help of optical spacetime geometry and so we use the Gauss-Bonnet theorem on Gaussian optical metric and find 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. After calculating the deflection angle of Casimir wormhole. Now, 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.

Subject Areas

Relativity and gravitation; Casimir Wormhole; Gauss-Bonnet; Effect of Plasma; Shadow of Casimir Wormhole

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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