Abstract

Higher-dimensional theories admit astrophysical objects like supermassive black holes, which are rather different from standard ones, and their gravitational lensing features deviate from general relativity. It is well known that a black hole shadow is a dark region due to the falling geodesics of photons into the black hole and, if detected, a black hole shadow could be used to determine which theory of gravity is consistent with observations. Measurements of the shadow sizes around the black holes can help to evaluate various parameters of the black hole metric. We study the shapes of the shadow cast by the rotating five-dimensional charged Einstein–Maxwell–Chern–Simons (EMCS) black holes, which is characterized by four parameters, i.e., mass, two spins, and charge, in which the spin parameters are set equal. We integrate the null geodesic equations and derive an analytical formula for the shadow of the five-dimensional EMCS black hole, in turn, to show that size of black hole shadow is affected due to charge as well as spin. The shadow is a dark zone covered by a deformed circle, and the size of the shadow decreases with an increase in the charge q when compared with the five-dimensional Myers–Perry black hole. Interestingly, the distortion increases with charge q. The effect of these parameters on the shape and size of the naked singularity shadow of the five-dimensional EMCS black hole is also discussed.

Highlights

  • The shadow deviation from the circle can determine the spin parameter of black holes

  • The aim of this paper is to investigate the shadow of a fivedimensional EMCS minimal gauged supergravity black hole and compare the results with the Kerr black hole/five-dimensional Myers–Perry black hole

  • As is well known the five-dimensional EMCS black hole follows the first law of thermodynamics so the conserved mass or the energy can be calculated by integrating dE = T dS + adJa + bdJb + dQ, (16)

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Summary

Introduction

The shadow deviation from the circle can determine the spin parameter of black holes. The Myers–Perry black hole solution [38] is a higher-dimensional generalization of the Kerr black hole solution. The shadow of a higherdimensional Schwarschild–Tangherlini black hole was discussed in [42] and the results show that the size of the shadows decreases in higher dimensions. The aim of this paper is to investigate the shadow of a fivedimensional EMCS minimal gauged supergravity black hole ( five-dimensional EMCS black hole) and compare the results with the Kerr black hole/five-dimensional Myers–Perry black hole. 3, we present the particle motion around the five-dimensional EMCS black hole to discuss the black hole shadow. Two observables are introduced to discuss the apparent shape of the black hole shadow in Sect.

Rotating five-dimensional EMCS black holes
Horizons and ergosphere
Particle motion
Five-dimensional EMCS Black hole shadow
Naked singularity
Energy emission rate
Conclusion
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