In this article, we firstly studied wave function in static spherically symmetric spacetime and obtained effective potential of perturbed fields with spin. Then we applied 6ᵗʰ order WKB approximation to analyze quasinormal modes of Schwarzschild black hole in the Cold Dark Matter halo in perturbed fields with different spins and derived quasinormal frequencies. Further, to study the relation between quasinormal frequencies and optics, we compare the results of WKB method with eikonal limit formula. At last, we discussed greybody factor in different perturbed fields under this spacetime.
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Ma et al. (2024) studied this question.
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