In this article, we demonstrate the weak gravitational lensing in the context of Bocharova–Bronnikov–Melnikov–Bekenstein (BBMB) black hole. To this desire, we derive the deflection angle of light in a plasma medium by BBMB black hole using the Gibbons and Werner method. First, we obtain the Gaussian optical curvature and implement the Gauss–Bonnet theorem to investigate the deflection angle for spherically symmetric spacetime of BBMB black hole. Moreover, we also analyze the graphical behavior of deflection angle by BBMB black hole in the presence of plasma medium.

中文翻译：

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Bocharova–Bronnikov–Melnikov–Bekenstein黑洞的弱引力透镜，使用高斯–邦尼定理

在本文中，我们在Bocharova–Bronnikov–Melnikov–Bekenstein（BBMB）黑洞的背景下演示了弱引力透镜。为此，我们使用Gibbons and Werner方法通过BBMB黑洞推导出等离子体介质中光的偏转角。首先，我们获得高斯光学曲率，并实施高斯-邦尼定理，以研究BBMB黑洞的球对称时空的偏转角。此外，我们还分析了在存在等离子介质的情况下BBMB黑洞的偏转角的图形行为。