经典暗能量对Kerr-Newmann黑洞弱偏转角的影响
Effect of the quintessential dark energy on weak deflection angle by Kerr-Newmann Black hole
摘要：
本文研究了具有典型暗能量的Kerr-Newman黑洞背景下的弱引力透镜效应。首先，我们利用Gauss-Bnnet定理计算了具有典型暗能量的带电黑洞对光的偏转角。首先，我们假设轴对称时空中赤道面上的光线。在这样做时，我们首先找到相应的光学度量，然后计算高斯光学曲率，以利用高斯-邦纳定理。从而计算了旋转带电黑洞的光偏转角。此外，我们还得到了具有典型暗能量的Kerr-Newman黑洞的光偏转角。为了验证我们的结果，我们推导出的偏转角由零测地线方程减少到克尔解的偏转角的特定参数的减少。此外，我们分析了偏转角$Θ$对碰撞参量$b$的图形行为。我们的图形分析检索各种结果的偏转角的Kerr-Newman黑洞与典型的暗能量。
英文摘要：
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-Bnnet 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 $Θ$ w.r.t to impact parameter $b$. Our graphical analysis retrieves various results regarding to the deflection angle by the Kerr-Newman black hole with quintessential dark energy.
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