Quasinormal modes and stability of a five-dimensional dilatonic black hole

TL;DR

This paper calculates the quasinormal frequencies of various fields in a five-dimensional dilatonic black hole to analyze its stability, providing exact results and comparisons with previous studies.

Contribution

It presents exact calculations of quasinormal modes for multiple fields in a five-dimensional dilatonic black hole, advancing understanding of its stability.

Findings

Exact quasinormal frequencies for electromagnetic, Klein-Gordon, and Dirac fields.

Confirmation of the black hole's linear stability based on these frequencies.

Comparison with previous results showing consistency and new insights.

Abstract

We exactly calculate the quasinormal frequencies of the electromagnetic and Klein-Gordon perturbations propagating in a five-dimensional dilatonic black hole. Furthermore we exactly find the quasinormal frequencies of the massive Dirac field. Using these results we study the linear stability of this black hole. We compare our results for the quasinormal frequencies and for the linear stability of the five-dimensional black hole with those already published.