Grey-body Factors and Absorption Cross Sections of Non-Commutative Black Holes under Einstein-Coupled Scalar Fields

This paper investigates scalar field perturbations coupled to the Einstein tensor of non-commutative black holes . We compute the grey-body factors and absorption cross-sections for different choices of the parameters using the partial wave method , and verify the latest correspondence between grey-body factors and quasinormal modes. The results show that larger values of the non-commutativity parameter $\theta$ and the coupling constant $\eta$ introduced in this model lead to smaller absorption cross-sections. Furthermore, we find that this correspondence is accurate for non-commutative black holes in the limit of large angular momentum quantum number $l$.