Quasinormal modes of charged squashed Kaluza-Klein black holes in the G\"{o}del Universe

TL;DR

This paper investigates how scalar perturbations decay around charged squashed Kaluza-Klein black holes in a G"{o}del universe, revealing effects of extra dimension compactness and cosmic rotation on wave dynamics.

Contribution

It is the first study to analyze quasinormal modes of such black holes within the G"{o}del universe, highlighting the influence of cosmological rotation.

Findings

Wave behavior is affected by the G"{o}del parameter.

The compactness of the extra dimension influences quasinormal modes.

Cosmological rotation impacts wave decay and oscillation patterns.

Abstract

We study the quasinormal modes of scalar perturbation in the background of five-dimensional charged Kaluza-Klein black holes with squashed horizons immersed in the G\"{o}del universe. Besides the influence due to the compactness of the extra dimension, we disclose the cosmological rotational effect in the wave dynamics. The wave behavior affected by the G\"{o}del parameter provides an interesting insight into the G\"{o}del universe.