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. 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.

Highlights

  • Ideal black holes are usually studied as isolated systems

  • As these extra dimensional models are motivated from string theory, and the D-branes action in string theory is described by a Born–Infeld (BI) action coupled to dilaton field [37,38,39,40], we will use such an action for analyzing quasinormal modes (QNMs)

  • We analyze the behavior of quasi-normal modes (QNMs) for a higher dimensional black hole with Lifshitz scaling

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Summary

Introduction

Ideal black holes are usually studied as isolated systems. this mathematical idealization cannot be actualized in any real world system. In model with extra dimensions, the effective Planck scale is brought down, and this new scale can be constraint by gravitational antennas like LIGO and VIRGO [36]. As these extra dimensional models are motivated from string theory, and the D-branes action in string theory is described by a Born–Infeld (BI) action coupled to dilaton field [37,38,39,40], we will use such an action for analyzing QNMs. The QNMs for the charged scalar perturbations have been thoroughly studied [41,42,43,44,45,46]. In the last section, we will summarize our results and discuss about them

Lifshitz solutions
Numerical analysis
Numerical results
Summary and conclusion
Full Text
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