Weak deflection angle of Kazakov-Solodukhin black hole in plasma medium using Gauss-Bonnet theorem and its greybody bonding

TL;DR

This paper investigates how the deformation parameter and plasma medium influence the weak gravitational lensing by Kazakov-Solodukhin black holes using the Gauss-Bonnet theorem, providing potential observational signatures.

Contribution

It introduces a novel analysis of the deformation parameter's effect on light deflection and greybody bounds in Kazakov-Solodukhin black holes using geometric and analytical methods.

Findings

Increasing the deformation parameter $a$ increases the weak deflection angle.

Plasma medium amplifies the gravitational lensing effect.

The greybody bound decreases with increasing $a$.

Abstract

In this paper, we study light rays in a Kazakov-Solodukhin black hole. To this end, we use the optical geometry of the Kazakov-Solodukhin black hole within the Gauss-bonnet theorem. We first show the effect of the deformation parameter $a$ on the Gaussian optical curvature, and then we use the modern method popularized by Gibbons and Werner to calculate the weak deflection angle of light. Our calculations of deflection angle show how gravitational lensing is affected by the deformation parameter $a$. Moreover, we demonstrate the effect of a plasma medium on weak gravitational lensing by the Kazakov-Solodukhin black hole. We discuss that the increasing the deformation parameter $a$, will increase the weak deflection angle of the black hole. Our analysis also uncloak how one may find a observational evidence for a deformation parameter on the deflection angle. In addition, we studied the rigorous bounds of the Kazakov-Solodukhin black hole for the grey body factor and also studied the graphical behaviour of the bounds by fixing $l=0$ and $M=1$ and observed that increasing the deformation parameter $a$ will decrease the rigorous bound $T_b$ of the black hole.