Preprint Article Version 1 This version is not peer-reviewed

Effect of the Quintessential Dark Energy on Weak Deflection Angle by Kerr-Newmann Black Hole

Version 1 : Received: 12 June 2019 / Approved: 13 June 2019 / Online: 13 June 2019 (13:28:52 CEST)

How to cite: Javed, W.; Abbas, J.; Övgün, A. Effect of the Quintessential Dark Energy on Weak Deflection Angle by Kerr-Newmann Black Hole. Preprints 2019, 2019060124 (doi: 10.20944/preprints201906.0124.v1). Javed, W.; Abbas, J.; Övgün, A. Effect of the Quintessential Dark Energy on Weak Deflection Angle by Kerr-Newmann Black Hole. Preprints 2019, 2019060124 (doi: 10.20944/preprints201906.0124.v1).

Abstract

In this work, we study the weak gravitational lensing in the background of Kerr-Newman black hole with quintessential dark energy. Initially, we compute the deflection angle of light by charged black hole with quintessential dark energy by utilizing the Gauss-Bonnet theorem. Firstly, we suppose the light rays on the equatorial plane in the axisymmetric spacetime. In doing so, we first find the corresponding optical metrics and then calculate the Gaussian optical curvature to utilize in Gauss-Bonnet theorem. Consequently, we calculate the deflection angle of light for rotating charged black hole with quintessence. Additionally, we also find the deflection angle of light for Kerr-Newman black hole with quintessential dark energy. In order to verify our results, we derive deflection angle by using null geodesic equations which reduces to the deflection angle of Kerr solution with the reduction of specific parameters. Furthermore, we analyze the graphical behavior of deflection angle $\Theta$ w.r.t to quintessence parameter $\alpha$, impact parameter $b$, BH charge $Q$ and rotation parameter $a$. Our graphical analysis retrieve various results regarding to the deflection angle by the Kerr-Newman black hole with quintessential dark energy.

Subject Areas

Deflection of light; rotating black hole; Deflection angle; Gauss-Bonnet theorem; Gravitational lensing, Finsler geometry, Null geodesic}

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