Weak Deflection angle of some classes of non-linear electrodynamics black holes via Gauss-Bonnet Theorem

TL;DR

This paper investigates how non-linear electrodynamics influences gravitational lensing by black holes in weak fields, using the Gauss-Bonnet theorem, and also considers plasma medium effects on the deflection angle.

Contribution

It introduces a method to compute the weak deflection angle for non-linear electrodynamics black holes using the Gauss-Bonnet theorem, including plasma effects.

Findings

Non-linear electrodynamics affects the leading order deflection angle.

The plasma medium modifies the weak deflection angle.

Optical geometry is constructed for these black holes.

Abstract

In this paper, we study the gravitational lensing by some black hole classes within the non-linear electrodynamics in weak field limits. First, we calculate an optical geometry of the non-linear electrodynamics black hole then we use the Gauss-Bonnet theorem for finding deflection angle in weak field limits. The effect of non-linear electrodynamics on the deflection angle in leading order terms is studied. Furthermore, we discuss the effects of the plasma medium on the weak deflection angle.