Quasinormal modes in the background of charged Kaluza-Klein black hole with squashed horizons

TL;DR

This paper investigates scalar perturbations of charged Kaluza-Klein black holes with squashed horizons, revealing a link between thermodynamic discontinuities and quasinormal modes, suggesting a deep connection between thermodynamics and dynamics.

Contribution

It uncovers the relationship between thermodynamic heat capacity discontinuities and quasinormal spectra in charged Kaluza-Klein black holes with squashed horizons.

Findings

Discontinuities in heat capacities correspond to features in quasinormal modes.

Thermodynamic and dynamical properties of these black holes are interconnected.

The study provides insights into the stability and phase structure of such black holes.

Abstract

We study the scalar perturbation in the background of the charged Kaluza-Klein black holes with squashed horizons. We find that the position of infinite discontinuities of the heat capacities can be reflected in quasinormal spectrum. This shows the possible non-trivial relation between the thermodynamical and dynamical properties of black holes.