Quasinormal modes and greybody factor of charged black hole in non-commutative geometry

In this article, the quasinormal modes and greybody factor of charged black hole in non-commutative geometry are studied. Under the assumption of a uniformly distributed charge within the matter, we obtain the metric for a charged black hole in non-commutative geometry. We calculated the wave function and obtained the effective potential of three different perturbed fields with spin. Then we applied $6^{\mathrm{t}\mathrm{h}}$ order WKB method to analyze the quasinormal modes of the black hole and derived quasinormal frequencies. Futhermore, we discussed the greybody factor in different perturbed fields under this spacetime.