Strong Gravitational Lensing by Kiselev Black Hole

TL;DR

This paper analyzes gravitational lensing caused by a Kiselev black hole with quintessence, deriving bending angles for various cases and comparing them to Schwarzschild black holes, including weak field magnification effects.

Contribution

It provides a detailed derivation of light bending angles for Kiselev black holes with specific parameters and compares different black hole configurations to Schwarzschild black holes.

Findings

Naked singularity causes the largest bending angle.

Bending angles follow the order: naked singularity > extreme Kiselev > non-extreme Kiselev > Schwarzschild.

Weak field approximation yields position and magnification of relativistic images.

Abstract

We investigate the gravitational lensing scenario due to Schwarzschild-like black hole surrounded by quintessence (Kiselev black hole). We work for the special case of Kiselev black hole where we take the state parameter $w_{q}=-\frac{2}{3}$. For the detailed derivation and analysis of the bending angle involved in the deflection of light, we discuss three special cases of Kiselev black hole: non-extreme, extreme and naked singularity. We also calculate the approximate bending angle and compare it with exact bending angle. We found the relation of bending angles in the decreasing order as: naked singularity, extreme Kiselev black hole, non-extreme Kiselev black hole and Schwarzschild black hole. In the weak field approximation, we compute the position and total magnification of relativistic images as well.