Study of deflection angle and shadow in supergravity black hole theory under the influence of non-magnetic plasma medium

Abstract

In this paper, we examine models of a black hole’s deflection angle in the context of gauged super-gravity, using the black hole’s optical metric. We compute Gaussian curvature and the Gauss-Bonnet theorem of optical metric and also follow the Gibbons-Werner technique to calculate the deflection angle. The spacetime curvature effects are significant and will have extensive implications for gauged supergravity theory. By incorporating the Gaussian curvature of the optical metric over a four-dimensional surface of light dispersion. Further, we examine the deflection angle in the presence of the non-magnetic plasma medium and how the non-magnetic plasma impacts the deflection angle. Furthermore, we show how the photon sphere influences the gauged supergravity and non-magnetized plasma of the black hole shadow, as well as how to generate black hole shadows by employing the ray tracing approach. Finally, we analyze the shadow cast and address plots of both the deflection angle and the shadow to understand the deflection angle functions and the shadow impact in the non-magnetic plasma medium.