Quasinormal modes for charged Lifshitz black holes with scalar hair

Abstract: In this paper, we focus on the generalized Einstein-Maxwell-Dilaton (EMD) gravity, including a nonminimal coupling term between the Maxwell field and scalar field. We construct charged lifshitz black holes with scalar hair of EMD gravity in the presence of cosmological constant for various horizon topologies $(k = 0, \pm 1)$. Then, we consider the scalar perturbations of charged Lifshitz black hole solutions and explore quasinormal modes (QNMs) of these black holes. By using the improved asymptotic iteration method (AIM), we recover the effects of factors such as the curvature, mass, and critical dynamic exponent of black holes on the QNMs.