Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

# Light Deflection by Traversable Wormhole in a Curvature-Coupled Antisymmetric Background Field

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)

How to cite: Javed, W.; Zahra, T.; C. Pantig, R.; Övgün, A. Light Deflection by Traversable Wormhole in a Curvature-Coupled Antisymmetric Background Field. Preprints 2022, 2022100280. https://doi.org/10.20944/preprints202210.0280.v2. Javed, W.; Zahra, T.; C. Pantig, R.; Övgün, A. Light Deflection by Traversable Wormhole in a Curvature-Coupled Antisymmetric Background Field. Preprints 2022, 2022100280. https://doi.org/10.20944/preprints202210.0280.v2.

## Abstract

This paper is devoted to study the gravitational lensing for Curvature-coupled antisymmetric wormhole solution to compute the bending angle of light by utilizing the Gibbons and Werner technique. To achieve this, we find the Gaussian optical curvature and then apply Gauss-Bonnet theorem in the weak field limits. We also study the effects of plasma as well as dark matter mediums on the bending angle. Moreover, we analyze the graphical behaviour of the deflection angle $\alpha$ with respect to the impact parameter $\sigma$ and minimal radius $r_{0}$ in non-plasma and plasma mediums. We examine that deflection angle shows direct relation with $r_{0}$ such that large values of $r_{0}$ gives large deflection angle and small values of $r_{0}$ gives small deflection angle. For impact parameter $\sigma$, deflection angle $\alpha$ shows inverse relation. Additionally, we derive the deflection angle of light by using Keeton and Petters method and compare with the previous results.

## Keywords

General Relativity; Gravitational lensing; Dark Matter, Gauss-Bonnet Theorem; Plasma Medium; Wormhole

## Subject

PHYSICAL SCIENCES, Astronomy & Astrophysics

Comment 1
Commenter: Ali Övgün
Commenter's Conflict of Interests: Author
Comment: Title is changed. Typos are corrected.
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