TY - JOUR

T1 - Weak gravitational lensing in dark matter and plasma mediums for wormhole-like static aether solution

AU - Javed, Wajiha

AU - Riaz, Sibgha

AU - Pantig, Reggie C.

AU - Övgün, Ali

N1 - Funding Information:
A. Ö. and R. P. would like to acknowledge networking support by the COST Action CA18108 - Quantum gravity phenomenology in the multi-messenger approach (QG-MM).
Publisher Copyright:
© 2022, The Author(s).

PY - 2022/11

Y1 - 2022/11

N2 - 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 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, 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< 2 m. At r> 2 m, 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.

AB - 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 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, 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< 2 m. At r> 2 m, 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.

UR - http://www.scopus.com/inward/record.url?scp=85142434887&partnerID=8YFLogxK

U2 - 10.1140/epjc/s10052-022-11030-4

DO - 10.1140/epjc/s10052-022-11030-4

M3 - Article

AN - SCOPUS:85142434887

VL - 82

JO - European Physical Journal C

JF - European Physical Journal C

SN - 1434-6044

IS - 11

M1 - 1057

ER -