Abstract
In this paper, we analyze the weak gravitational lensing in the context of Einstein-nonlinear-Maxwell–Yukawa black hole. To this desire, we derive the deflection angle of light by Einstein-nonlinear-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-nonlinear-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-nonlinear-Maxwell–Yukawa black hole in the presence of plasma as well as non-plasma medium.
Highlights
In our universe the black holes are essential components and when stars die, they collapse and become very small objects which is the most important discoveries of astrophysics
We study the weak gravitational lensing by Einstein-non-linear MaxwellYukawa black holes
The present paper is about the investigation of deflection angle by Einstein-non-linear Maxwell-Yukawa BH in non-plasma as well as plasma medium
Summary
In our universe the black holes are essential components and when stars die, they collapse and become very small objects which is the most important discoveries of astrophysics. Gibbons and Werner [25] made a very important role who contended about the significance of global topology on the deflection of light by utilizing the optical geometry and GBT They have calculated deflection angle for the schwarzschild black holes which is different from the other method by supposing domain outside of the light ray, where the mass is closed in the given area on space is strongly related to the lensing effect. Where f (r) is given in Eq 2 so that Gaussian optical curvature for Einstein-non-linear Maxwell-Yukawa black hole in leading order term is obtained as; K. WEAK LENSING BY EINSTEIN-NON-LINEAR MAXWELL-YUKAWA BLACK HOLE IN A PLASMA MEDIUM. For the values of c < 0 the behavior of deflection angle is negatively decreasing
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