The isospectrality of asymptotic quasinormal modes of large Gauss-Bonnet d-dimensional black holes

TL;DR

This paper calculates the highly damped quasinormal mode frequencies of large Gauss-Bonnet black holes in various dimensions, revealing isospectrality across different perturbation types and scalar fields.

Contribution

It provides a perturbative analytical method to compute quasinormal modes of d-dimensional Gauss-Bonnet black holes, demonstrating isospectrality similar to Einstein gravity.

Findings

Same quasinormal frequencies for tensor, vector, and scalar gravitational perturbations.

Quasinormal mode spectra are identical for test scalar fields and gravitational perturbations.

Analytical computation of monodromies in the complex plane for highly damped modes.

Abstract

We compute the quasinormal frequencies of d-dimensional large spherically symmetric black holes with Gauss-Bonnet corrections in the highly damped regime. We solve perturbatively the master differential equation and we compute the monodromies of the master perturbation variable (analytically continued to the complex plane) in different contours, in order to obtain the quasinormal mode spectra. We consider tensorial, vectorial and scalar gravitational perturbations, obtaining the same frequencies for the three cases like in Einstein gravity. We also separately perform the same calculation for test scalar fields.