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)
How to cite:
Javed, W.; Zahra, T.; Pantig, R.; Övgün, A. Weak Deflection Angle for Curvature-Coupled Antisymmetric Wormhole Solution. Preprints2022, 2022100280. https://doi.org/10.20944/preprints202210.0280.v1
Javed, W.; Zahra, T.; Pantig, R.; Övgün, A. Weak Deflection Angle for Curvature-Coupled Antisymmetric Wormhole Solution. Preprints 2022, 2022100280. https://doi.org/10.20944/preprints202210.0280.v1
Javed, W.; Zahra, T.; Pantig, R.; Övgün, A. Weak Deflection Angle for Curvature-Coupled Antisymmetric Wormhole Solution. Preprints2022, 2022100280. https://doi.org/10.20944/preprints202210.0280.v1
APA Style
Javed, W., Zahra, T., Pantig, R., & Övgün, A. (2022). Weak Deflection Angle for Curvature-Coupled Antisymmetric Wormhole Solution. Preprints. https://doi.org/10.20944/preprints202210.0280.v1
Chicago/Turabian Style
Javed, W., Reggie Pantig and Ali Övgün. 2022 "Weak Deflection Angle for Curvature-Coupled Antisymmetric Wormhole Solution" Preprints. https://doi.org/10.20944/preprints202210.0280.v1
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 and Astrophysics
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.
