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

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.

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“…Notably, for the thick brane with an infinite extra dimension, such naked singularities do not occur, and the bulk scalar field exhibits a standard kink solution. The shapes of the bulk scalar field (11), the scalar potential (12), and the curvature scalar (13).…”

“…FIG.1:The shapes of the bulk scalar field(11), the scalar potential(12), and the curvature scalar(13).…”