Scalar field propagation in higher dimensional black holes at a Lifshitz point

TL;DR

This paper investigates scalar field dynamics in higher-dimensional Lifshitz black holes with z=2, analyzing time evolution and quasinormal modes, revealing purely imaginary frequencies across dimensions.

Contribution

It provides a detailed analysis of scalar field propagation and quasinormal spectra in higher-dimensional Lifshitz black holes with quadratic curvature corrections.

Findings

Quasinormal modes are purely imaginary for all dimensions.

Exact solutions to the Klein-Gordon equation were obtained.

The study enhances understanding of scalar perturbations in Lifshitz black holes.

Abstract

We study the complete time evolution of scalar fields propagating in space-times of higher dimensional Lifshitz Black Holes with dynamical critical exponent $z=2$, obtained from a theory including the most general quadratic curvature corrections to Einstein-Hilbert gravity in $D$ dimensions. We also computed the quasinormal spectrum after performing a numerical integration and solving exactly the Klein-Gordon equation obeyed by the massive scalar field. We found that quasinormal modes are purely imaginary for all dimensions.