Weak Deflection Angle and Greybody Bound of Magnetized Regular Black Hole

TL;DR

This paper investigates the weak deflection angle and greybody bounds of a magnetized regular black hole using the Gauss-Bonnet theorem, analyzing effects of plasma, impact parameter, and black hole parameters through graphical methods.

Contribution

It introduces a novel analysis of deflection angles and greybody bounds for magnetized regular black holes, including effects of plasma and parameter variations, extending prior studies on black hole optics and radiation.

Findings

Deflection angle diverges as impact parameter approaches zero.

Deflection angle varies with charge parameter, showing negative and positive behaviors.

Greybody bound increases at small frequencies and decreases at large frequencies.

Abstract

In this paper, we examine the weak deflection angle and greybody bound for magnetized regular black hole.$~$ For this purpose, we apply the Gauss-Bonnet theorem on the black hole and obtain the deflection angle in plasma and non-plasma mediums.$~$ Moreover, we investigate graphically the effect of impact parameter on the deflection angle for regular black hole in both mediums. We examine that deflection angle goes to infinity when the impact parameter approaches to zero. We also observe that deflection angle shows negative behaviour at $q=0.6$ and $q=2.09$ but at $0.6<q<2.09$, angle shows the positive behaviour. Furthermore, we study the rigorous bound phenomenon of the greybody factor in the background for magnetized regular black hole. Later, we analyze the graphical behaviour of greybody bound with respect to different values of $\omega$ and observe that at small values of $\omega$, bound is increasing but for large values, bound is decreasing. Afterthat we examine that when we put $G=1$, $l=0$ and $q=0$, then all results for magnetized regular black hole solution reduces into results of the Schwarzschild black hole solution.