Weak gravitational lensing by Einstein-non-linear-Maxwell-Yukawa black hole

TL;DR

This paper investigates the weak gravitational lensing effects caused by Einstein-non-linear Maxwell-Yukawa black holes, deriving light deflection angles using geometric methods and analyzing plasma effects.

Contribution

It introduces a novel calculation of light deflection angles for this specific black hole model using the Gauss-Bonnet theorem, including plasma medium effects.

Findings

Derived the deflection angle using the Gibbons and Werner method.

Analyzed the impact of plasma medium on light deflection.

Graphically examined deflection behavior in different media.

Abstract

In this article, we analyze the weak gravitational lensing in the context of Einstein-non-linear Maxwell-Yukawa black hole. To this desire, we derive the deflection angle of light by Einstein-non-linear Maxwell-Yukawa black hole using the Gibbons and Werner method. For this purpose, we obtain the Gaussian curvature and apply the Gauss-Bonnet theorem to find the deflection angle of Einstein-non-linear Maxwell-Yukawa black hole in weak field limits. Moreover, we derive the deflection angle of light in the influence of plasma medium. We also analyze the graphical behavior of deflection angle by Einstein-non-linear Maxwell-Yukawa black hole in the presence of plasma as well as non-plasma medium.