Shadow of the 5D Reissner-Nordström AdS black hole

Mandal S. Upadhyay S. Myrzakulov Y. Yergaliyeva G.
20 March 2023 World Scientific

International Journal of Modern Physics A
2023 #38 Issue 8

In this paper, we discuss the shadow cast by the charged Reissner-Nordström (RN) anti-de Sitter (AdS) black hole. With the help of the Killing equation and Hamilton-Jacobi equation, we calculate the geodesic equations for null particles. With the help of geodesics of null particle, we then determine the celestial coordinates (α, β) 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, the 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. We study the shadow radius for the constrained values of charge and cosmological constant from the M87∗ and SgrA∗ black holes. In addition, we also discuss the energy emission the rate of RN black hole. The effects of parameters like charge, cosmological constant and plasma parameter on energy emission rate are analyzed graphically.

Black hole shadow , energy emission rate , plasma medium , RN AdS₅black hole

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Department of Physics, Jadavpur University, West Bengal, Kolkata, 700032, India
Department of Physics, K. L. S. College, Magadh University, Bihar, Nawada, 805110, India
School of Physics, Damghan University, Damghan, 3671641167, Iran
Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Ratbay Myrzakulov Eurasian International Center for Theoretical Physics, Astana, 010009, Kazakhstan
Iucaa Maharashtra, Pune, 411007, India

Department of Physics
Department of Physics
School of Physics
Department of General and Theoretical Physics
Ratbay Myrzakulov Eurasian International Center for Theoretical Physics
Iucaa Maharashtra

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