Weak Deflection Angle of Kazakov-Solodukhin Black Hole in Plasma Medium

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.

Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem

“…The authors have furthered their work with Liu to find the deflection and gravitational lensing of light and massive particles using the Gauss-Bonnet theoremin an arbitrary static, spherically symmetric and asymptotically (anti-)de Sitter spacetimes in [6]. Javed et al have calculated the deflection angle for a Kazakov-Solodukhin black hole with the Gauss-Bonnet theorem to comprehend the effects of the deformation parameter both in vacuum and in the presence of plasma [7]. Carvalho et al have considered the Casimir energy corrected by the Generalized Uncertainty Principle as the source in their work [8] to investigate the gravitational bending angle due to the Casimir wormholes with the Jacobi metric in the Gauss-Bonnet theorem.…”

Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem

“…The authors have furthered their work with Liu to find the deflection and gravitational lensing of light and massive particles using the Gauss-Bonnet theorem in an arbitrary static, spherically symmetric and asymptotically (anti-)de Sitter spacetimes in [6]. Javed et al have calculated the deflection angle for a Kazakov-Solodukhin black hole with the Gauss-Bonnet theorem to comprehend the effects of the deformation parameter both in vacuum and in the presence of plasma [7]. Carvalho et al have considered the Casimir energy corrected by the Generalized Uncertainty Principle as the source in their work [8] to investigate the gravitational bending angle due to the Casimir wormholes with the Jacobi metric in the Gauss-Bonnet theorem.…”

Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem

“…The authors have furthered their work with Liu to find the deflection and gravitational lensing of light and massive particles using the Gauss-Bonnet theoremin an arbitrary static, spherically symmetric and asymptotically (anti-)de Sitter spacetimes in [6]. Javed et al have calculated the deflection angle for a Kazakov-Solodukhin black hole with the Gauss-Bonnet theorem to comprehend the effects of the deformation parameter both in vacuum and in the presence of plasma [7]. Carvalho et al have considered the Casimir energy corrected by the Generalized Uncertainty Principle as the source in their work [8] to investigate the gravitational bending angle due to the Casimir wormholes with the Jacobi metric in the Gauss-Bonnet theorem.…”