Then, three cases of the velocity of light (d r/d t, 0, and 0), (0, rd θ/d t, and 0), and (0, 0, and rsin θd ϕ/d t) are discussed in this research. The geodesic of light in the spacetime structure is d s 2 = 0, and the equation for three velocity components (d r/d t, rd θ/d t, rsin θd ϕ/d t) is obtained in the Boyer-Lindquist coordinates ( r, θ, and ϕ) with the coordinate time t. The black hole has the rotation term a and the charge term R Q as well as the Schwarzschild radius R S. We use the Kerr–Newman metric based on the theory of general relativity to discuss the observed superluminal phenomenon of light near the black hole and whether it is observable astronomically at infinity or a weak gravitational place such as on Earth.
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