Effect of Non-linear Electrodynamics on Weak field deflection angle by Black Hole

TL;DR

This paper explores how non-linear electrodynamics influences the weak gravitational lensing of light around black holes, using geometric methods and considering plasma effects, to understand deviations from classical predictions.

Contribution

It introduces a geometric approach to calculate the weak deflection angle in non-linear electrodynamics black holes, including plasma effects, which is a novel extension of existing gravitational lensing studies.

Findings

Non-linear electrodynamics alters the weak deflection angle.

Plasma medium impacts gravitational lensing measurements.

The geometric method effectively computes deflection angles in complex spacetimes.

Abstract

In this work, we investigate the weak deflection angle of light from exact black hole within the non-linear electrodynamics. First we calculate the Gaussian optical curvature using the optical spacetime geometry. With the help of modern geometrical way popularized by Gibbons and Werner, we examine the deflection angle of light from exact black hole. For this desire, we determine the optical Gaussian curvature and execute the Gauss-Bonnet theorem on optical metric and calculate the leading terms of deflection angle in the weak limit approximation. Furthermore, we likewise study the plasma medium's effect on weak gravitational lensing by exact black hole. Hence we expose the effect of the non-linear electrodynamics on the deflection angle in the weak gravitational field.