Weak Gravitational lensing by Bocharova-Bronnikov-Melnikov-Bekenstein black holes using Gauss-bonnet theorem

TL;DR

This paper investigates the weak gravitational lensing effect of Bocharova-Bronnikov-Melnikov-Bekenstein black holes using the Gauss-Bonnet theorem, including plasma medium effects, providing new insights into light deflection in such spacetimes.

Contribution

It derives the light deflection angle for BBMB black holes in plasma medium using the Gauss-Bonnet theorem, a novel application in this context.

Findings

Derived the Gaussian optical curvature for BBMB black holes.

Calculated the deflection angle using the Gauss-Bonnet theorem.

Analyzed the impact of plasma medium on light deflection.

Abstract

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.