Shadow of the $5D$ Reissner-Nordstr\"om AdS Black Hole

TL;DR

This paper analyzes the shadow of a charged Reissner-Nordström AdS black hole, examining how charge, cosmological constant, and plasma medium influence the shadow's size and energy emission rate.

Contribution

It provides a detailed calculation of the black hole shadow considering charge, cosmological constant, and plasma effects, including graphical analysis and new insights into parameter impacts.

Findings

Shadow is a perfect dark circle.

Shadow radius decreases with increasing charge.

Plasma medium increases the shadow radius.

Abstract

We discuss the shadow cast by the charged Reissner-Nordstr\"om (RN) AdS black hole. With the help of Killing equation and Hamilton-Jacobi equation, we calculate the geodesic equations for null particle. With the help of geodesics of null particle, we then determine the celestial coordinates ($\alpha$, $\beta$) and the shadow radius of the RN AdS black hole. We present a graphical analysis of the black hole shadow and find that shadow is a perfectly dark circle. The impacts of charge and cosmological constant of the RN AdS black hole on the radius of shadow are also presented. In this connection, radius of the shadow is a decreasing function of the charge. Furthermore, we study the effects of plasma medium on the RN AdS black hole shadow. Here, we find that radius of circular shadow increases with increasing plasma parameter. In addition, we also discuss the energy emission rate of RN AdS black hole. The effects of parameters like charge, cosmological constant and plasma parameter on energy emission rate are analyzed graphically.