Quasi-normal modes of a black hole localized on a codimension-two brane of finite tension

TL;DR

This paper computes the quasi-normal modes of black holes on a finite tension 3-brane in six-dimensional space, extending previous small-tension results through analytical and numerical methods.

Contribution

It introduces a comprehensive calculation of black hole quasi-normal modes for arbitrary brane tension, expanding beyond prior small-tension approximations.

Findings

Quasi-normal mode frequencies are obtained analytically and numerically.

Results extend previous small-tension analytical findings.

The study covers various perturbation types for the black holes.

Abstract

We calculate the quasi-normal modes of black holes localized on a 3-brane of finite tension embedded in six-dimensional flat spacetime. Using the WKB approximation, we obtain the frequencies of various types of perturbation both analytically and numerically for arbitrary brane tension. We thus extend earlier analytical results which were derived for a brane of small tension.