Quasinormal Modes, Stability Analysis and Absorption Cross Section for 4-dimensional Topological Lifshitz Black Hole

TL;DR

This paper analyzes scalar perturbations of a 4D Topological Lifshitz black hole, calculating quasinormal modes, stability, and absorption cross sections, revealing stability and mode contributions at low frequencies.

Contribution

It provides analytical calculations of quasinormal modes and absorption cross sections for the first time in this specific black hole background.

Findings

The black hole is shown to be stable based on quasinormal modes.

High angular momentum modes significantly contribute to absorption at low frequencies.

Absorption cross section decreases with increasing scalar field mass.

Abstract

We study scalar perturbations in the background of a Topological Lifshitz black hole in four dimensions. We compute analytically the quasinormal modes and from these modes we show that Topological Lifshitz black hole is stable. On the other hand, we compute the reflection and transmission coefficients and the absorption cross section and we show that there is a range of modes with high angular momentum which contributes to the absorption cross section in the low frequency limit. Furthermore, in this limit, we show that the absorption cross section decreases if the scalar field mass increases, for a real scalar field mass.