preprints.org > physical sciences > astronomy and astrophysics > doi: 10.20944/preprints202210.0280.v3

Preprint Article Version 3 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 17 October 2022 / Approved: 19 October 2022 / Online: 19 October 2022 (10:07:37 CEST)
Version 2 : Received: 28 February 2023 / Approved: 28 February 2023 / Online: 28 February 2023 (15:59:28 CET)
Version 3 : Received: 15 August 2023 / Approved: 16 August 2023 / Online: 16 August 2023 (13:54:18 CEST)

This research focuses on exploring gravitational lensing of the wormhole in Einstein-bumblebee gravity with an antisymmetric tensor. The Gibbons and Werner technique based on the Gauss-Bonnet theorem is utilized to calculate the bending angle of light. The effects of non-plasma and plasma medium on the bending angles are investigated. Furthermore, we examine the deflection angle $\Tilde{\alpha}$ in relation to the impact parameter $\sigma$ and minimal radius $r_{0}$ in both non-plasma and plasma mediums. Our findings indicate that the deflection angle is positively correlated with $r_{0}$, meaning that larger values of $r_{0}$ result in larger deflection angles and smaller values of $r_{0}$ result in smaller deflection angles. On the other hand, the deflection angle $\Tilde{\alpha}$ is inversely related to the impact parameter $\sigma$.

Wormhole; Deflection angle; Gauss-Bonnet Theorem; Bumblebee gravity; Plasma Medium

Physical Sciences, Astronomy and Astrophysics

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