Weak Deflection angle and Shadow by Tidal Charged Black Hole

Javed, Wajiha; Hamza, Ali; Övgün, Ali

doi:10.48550/arxiv.2110.11397

Cited by 1 publication

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References 30 publications

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“…Here, K is the Gaussian curvature, d S is the surface component and p ∞ stands for infinite domain of the space. Numerous writers have used GBT to examine the angle of deflection for various BHs and WHs [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39] Javed et al [40,41] calculated the weak GL by stringy BH and tidal charged BH. He and Lin [42] examined the GL for Kerr-Newman BH having arbitrary uniform velocity.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2022

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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.

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