Version 1
: Received: 23 July 2022 / Approved: 26 July 2022 / Online: 26 July 2022 (06:12:06 CEST)
How to cite:
Javed, W.; Riaz, S.; Pantig, R. C.; Övgün, A. Weak Gravitational Lensing in Dark Matter and Plasma Mediums for Wormhole-like Static Aether Solution. Preprints2022, 2022070390. https://doi.org/10.20944/preprints202207.0390.v1
Javed, W.; Riaz, S.; Pantig, R. C.; Övgün, A. Weak Gravitational Lensing in Dark Matter and Plasma Mediums for Wormhole-like Static Aether Solution. Preprints 2022, 2022070390. https://doi.org/10.20944/preprints202207.0390.v1
Javed, W.; Riaz, S.; Pantig, R. C.; Övgün, A. Weak Gravitational Lensing in Dark Matter and Plasma Mediums for Wormhole-like Static Aether Solution. Preprints2022, 2022070390. https://doi.org/10.20944/preprints202207.0390.v1
APA Style
Javed, W., Riaz, S., Pantig, R. C., & Övgün, A. (2022). Weak Gravitational Lensing in Dark Matter and Plasma Mediums for Wormhole-like Static Aether Solution. Preprints. https://doi.org/10.20944/preprints202207.0390.v1
Chicago/Turabian Style
Javed, W., Reggie C. Pantig and Ali Övgün. 2022 "Weak Gravitational Lensing in Dark Matter and Plasma Mediums for Wormhole-like Static Aether Solution" Preprints. https://doi.org/10.20944/preprints202207.0390.v1
Abstract
In this paper, we study the deflection angle for wormhole-like static aether solution by using Gibbons and Werner technique in non-plasma, plasma and dark matter mediums. For this purpose, we use optical spacetime geometry to calculate the Gaussian optical curvature, then implement the Gauss-Bonnet theorem in weak field limits. Moreover, we compute the deflection angle by using a technique known as Keeton and Petters technique. Furthermore, we analyze the graphical behaviour of the bending angle ψ with respect to the impact parameter b, mass m as integration constant and parameter q in non-plasma and plasma mediums. We examine that deflection angle is exponentially increasing as direct with charge. Also, we observe that for small values of b, ψ increases and for large values of b the angle deceases. We also considered an analysis to the shadow cast of the wormhole relative to an observer at various locations. Comparing it the the Schwarzschild shadow, shadow cast is possible for wormhole as r<2m. At r>2m, the Schwarzschild is larger. As r → ∞, we have seen that the behavior of the shadow, as well as the weak deflection angle, approaches that of the Schwarzschild black hole. Overall, the effect of plasma tends to decrease the value of the observables due to the wormhole geometry.
Keywords
general relativity; gravitational lensing; wormhole-like static aether solution; Gauss-Bonnet theorem; plasma and non-plasma mediums; dark matter; modified gravity
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.