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Effect of Horndeski theory on weak deflection angle using the Gauss–Bonnet theorem
International Journal of Geometric Methods in Modern Physics ( IF 1.8 ) Pub Date : 2022-07-25 , DOI: 10.1142/s0219887822501924
Ali Övgün 1 , Yashmitha Kumaran 1 , Wajiha Javed 2 , Jameela Abbas 3
Affiliation  

The main goal of this paper is to study the weak gravitational lensing by Horndeski black hole in weak field approximation. In order to do so, we exploit the Gibbons–Werner method to the optical geometry of Horndeski black hole and implement the Gauss–Bonnet theorem to accomplish the deflection angle of light in weak field region. Furthermore, we have endeavored to extend the scale of our work by comprising the impact of plasma medium on the deflection angle as properly. Later, the graphical influence of the deflection angle of photon on Horndeski black hole in plasma and nonplasma medium is examined.



中文翻译:

使用 Gauss-Bonnet 定理的 Horndeski 理论对弱偏转角的影响

本文的主要目的是研究弱场逼近中霍恩德斯基黑洞的弱引力透镜效应。为此,我们将 Gibbons-Werner 方法应用于 Horndeski 黑洞的光学几何,并利用 Gauss-Bonnet 定理来完成弱场区光的偏转角。此外,我们还努力通过适当地包括等离子体介质对偏转角的影响来扩大我们的工作规模。随后,研究了等离子体和非等离子体介质中光子偏转角对霍恩德斯基黑洞的图形影响。

更新日期:2022-07-25
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