Weak gravitational lensing in dark matter and plasma mediums for wormhole-like static aether solution
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 Gau...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-11030-4 |
| _version_ | 1797986774448865280 |
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| author | Wajiha Javed Sibgha Riaz Reggie C. Pantig Ali Övgün |
| author_facet | Wajiha Javed Sibgha Riaz Reggie C. Pantig Ali Övgün |
| author_sort | Wajiha Javed |
| collection | DOAJ |
| description | 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 behavior of the bending angle $$\psi $$ ψ with respect to the impact parameter b, mass m as an integration constant, and parameter q in non-plasma and plasma mediums. We examine that the deflection angle is exponentially increasing as direct with charge. Also, we observe that for small values of b, $$\psi $$ ψ increases, and for large values of b the angle decreases. We also considered analysis to the shadow cast of the wormhole relative to an observer at various locations. Comparing it the Schwarzschild shadow, shadow cast is possible for wormhole as $$r<2m$$ r < 2 m . At $$r>2m$$ r > 2 m , the Schwarzschild is larger. As $$r\rightarrow \infty $$ 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. |
| first_indexed | 2024-04-11T07:38:29Z |
| format | Article |
| id | doaj.art-579d91b73ec9460b9d49d5f1de7498f6 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-11T07:38:29Z |
| publishDate | 2022-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-579d91b73ec9460b9d49d5f1de7498f62022-12-22T04:36:39ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-11-01821111010.1140/epjc/s10052-022-11030-4Weak gravitational lensing in dark matter and plasma mediums for wormhole-like static aether solutionWajiha Javed0Sibgha Riaz1Reggie C. Pantig2Ali Övgün3Division of Science and Technology, Department of Mathematics, University of EducationDivision of Science and Technology, Department of Mathematics, University of EducationPhysics Department, De La Salle UniversityPhysics Department, Eastern Mediterranean UniversityAbstract 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 behavior of the bending angle $$\psi $$ ψ with respect to the impact parameter b, mass m as an integration constant, and parameter q in non-plasma and plasma mediums. We examine that the deflection angle is exponentially increasing as direct with charge. Also, we observe that for small values of b, $$\psi $$ ψ increases, and for large values of b the angle decreases. We also considered analysis to the shadow cast of the wormhole relative to an observer at various locations. Comparing it the Schwarzschild shadow, shadow cast is possible for wormhole as $$r<2m$$ r < 2 m . At $$r>2m$$ r > 2 m , the Schwarzschild is larger. As $$r\rightarrow \infty $$ 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.https://doi.org/10.1140/epjc/s10052-022-11030-4 |
| spellingShingle | Wajiha Javed Sibgha Riaz Reggie C. Pantig Ali Övgün Weak gravitational lensing in dark matter and plasma mediums for wormhole-like static aether solution European Physical Journal C: Particles and Fields |
| title | Weak gravitational lensing in dark matter and plasma mediums for wormhole-like static aether solution |
| title_full | Weak gravitational lensing in dark matter and plasma mediums for wormhole-like static aether solution |
| title_fullStr | Weak gravitational lensing in dark matter and plasma mediums for wormhole-like static aether solution |
| title_full_unstemmed | Weak gravitational lensing in dark matter and plasma mediums for wormhole-like static aether solution |
| title_short | Weak gravitational lensing in dark matter and plasma mediums for wormhole-like static aether solution |
| title_sort | weak gravitational lensing in dark matter and plasma mediums for wormhole like static aether solution |
| url | https://doi.org/10.1140/epjc/s10052-022-11030-4 |
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