Quasinormal frequencies and thermodynamic quantities for the Lifshitz black holes

TL;DR

This paper explores the relationship between thermodynamic properties and quasinormal frequencies in Lifshitz black holes, demonstrating that stable black holes have purely imaginary frequencies and their horizon area and entropy can be quantized.

Contribution

It establishes a link between thermodynamics and quasinormal modes in Lifshitz black holes and applies Maggiore's method for quantization.

Findings

Stable Lifshitz black holes have purely imaginary quasinormal frequencies

Horizon area and entropy are quantized using Maggiore's method

Connection between thermodynamics and quasinormal modes is demonstrated

Abstract

We find the connection between thermodynamic quantities and quasinormal frequencies in Lifshitz black holes. It is shown that the globally stable Lifshitz black holes have pure imaginary quasinormal frequencies. We also show that by employing the Maggiore's method, both the horizon area and the entropy can be quantized for these black holes.