Quasinormal modes for charged Lifshitz black holes with scalar hair

TL;DR

This study analyzes the quasinormal modes of charged scalar fields in four-dimensional Lifshitz-AdS black holes with scalar hair, revealing how various parameters influence stability and decay rates in non-AdS holographic models.

Contribution

It provides the first detailed computation of QNMs for charged scalar perturbations in Lifshitz black holes with scalar hair, exploring parameter dependencies using the asymptotic iteration method.

Findings

Decay rates depend non-monotonically on black hole charge.

Real and imaginary parts of QNMs show sensitive parameter dependence.

Results inform stability analysis of Lifshitz black holes in holography.

Abstract

In this paper, we investigate massive charged scalar perturbations in four-dimensional charged Lifshitz-AdS black holes with scalar hair, within the framework of Einstein--Maxwell--Dilaton (EMD) gravity. Using the improved asymptotic iteration method (AIM), we compute the quasinormal modes (QNMs) and explore their dependence on key parameters, including the Lifshitz dynamical exponent $z$, the scalar field mass and charge, and the black hole charge, under various spatial curvature settings ($k=0, \pm1$). Our results reveal rich and sensitive behavior in both the real and imaginary parts of QNMs. In particular, the decay rates can exhibit monotonic or non-monotonic dependence on the black hole charge, depending on the values of $z$, $m_s$, and $q_s$. These findings highlight the significant role of field and geometric parameters in governing the dynamical stability of Lifshitz black holes and offer insights into the perturbative properties of non-AdS holographic systems.