论文标题
暗物质中的弱重力镜头和虫洞样静态溶液的等离子体介质
Weak Gravitational Lensing in Dark Matter and Plasma Mediums for Wormhole-like Static Aether Solution
论文作者
论文摘要
在本文中，我们通过在非血浆，等离子体和暗物质培养基中使用Gibbons和Werner技术来研究虫孔样静态以太溶液的挠度。为此，我们使用光学时空几何形状来计算高斯光学曲率，然后在弱场限制中实现高斯 - 摩托克定理。此外，我们使用称为Keeton和Petters技术的技术来计算挠度角。此外，我们分析了相对于影响参数$ b $，质量$ m $作为集成常数的弯曲角$ψ$的图形行为，而非等离子体和等离子介质的参数$ q $。我们检查挠度角以电荷为直接增加。此外，我们观察到，对于$ b $的小值，$ψ$增加，对于$ b $的大值，角度下降。我们还考虑了分析虫洞相对于观察者在各个位置的阴影铸件。将其比较Schwarzschild的阴影，虫洞可以用作$ r <2M $的阴影。 Schwarzschild在$> 200万美元时更大。作为$ r \ to \ infty $，我们已经看到阴影的行为以及弱偏转角度接近Schwarzschild黑洞的行为。总体而言，血浆的效果倾向于降低由于虫洞的几何形状而引起的观察值的值。
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 $r<2m$. At $r>2m$, the Schwarzschild is larger. As $r\to \infty$, 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.
