Effect of the magnetic charge on weak deflection angle and greybody bound of the black hole in Einstein-Gauss-Bonnet gravity

TL;DR

This paper investigates how magnetic charge influences the weak deflection angle of light and greybody bounds of black holes within Einstein-Gauss-Bonnet gravity, considering plasma effects and employing geometric methods.

Contribution

It introduces a novel analysis of plasma effects on light deflection and greybody bounds in Einstein-Gauss-Bonnet black holes, using the Gibbons-Werner approach.

Findings

Deflection angle varies with plasma presence and magnetic charge.

Greybody bounds are affected by Einstein-Gauss-Bonnet parameters.

Graphical analysis illustrates parameter influences on black hole properties.

Abstract

The objective of this paper is to analyze the weak deflection angle of Einstein-Gauss-Bonnet gravity in the presence of plasma medium. To attain our results, we implement the Gibbons and Werner approach and use the Gauss-Bonnet theorem to Einstein gravity to acquire the resulting deflection angle of photon's ray in the weak field limit. Moreover, we illustrate the behavior of plasma medium and non-plasma mediums on the deflection of photon's ray in the framework of Einstein-Gauss-Bonnet gravity. Similarly, we observe the graphical influences of deflection angle on Einstein-Gauss-Bonnet gravity with the consideration of both plasma and non-plasma mediums. Later, we observe the rigorous bounds phenomenon of the greybody factor in contact with Einstein-Gauss-Bonnet gravity and calculate the outcomes, analyze graphically for specific values of parameters.