# Charged scalar quasi-normal modes for higher-dimensional Born-Infeld dilatonic black holes with Lifshitz scaling

## TL;DR

This paper investigates the quasi-normal modes of higher-dimensional Lifshitz black holes with dilaton and Born-Infeld fields, providing insights into their stability and potential as tests for models with large extra dimensions.

## Contribution

It introduces a detailed analysis of charged perturbations and stability conditions for these complex black hole solutions within a UV-complete framework.

## Key findings

- Analytical stability conditions for positive potentials.
- Numerical analysis of charged perturbations using asymptotic iteration method.
- Insights into the behavior of quasi-normal modes in higher-dimensional Lifshitz black holes.

## Abstract

We study quasi-normal modes for a higher dimensional black hole with Lifshitz scaling, as these quasi-normal modes can be used to test Lifshitz models with large extra dimensions. Furthermore, as the effective Planck scale is brought down in many models with large extra dimensions, we study these quasi-normal modes for a UV completion action. Thus, we analyze quasi-normal modes for higher dimensional dilaton-Lifshitz black hole solutions coupled to a non-linear Born-Infeld action. We will analyze the charged perturbations for such a black hole solution. We will first analyze the general conditions for stability analytically, for a positive potential. Then, we analyze this system for a charged perturbation as well as negative potential, using the asymptotic iteration method for quasi-normal modes. Thus, we analyze the behavior of these modes numerically.