Gravitational quasinormal radiation of higher-dimensional black holes

TL;DR

This paper investigates the gravitational quasinormal modes of higher-dimensional black holes, revealing how the spectrum varies with the sign of a parameter and identifying different mode types that influence black hole ringing.

Contribution

It provides a detailed analysis of gravitational quasinormal modes in higher-dimensional black holes, highlighting the effects of the $\lambda$ term and the breaking of isospectrality.

Findings

Quasinormal spectra differ significantly for positive and negative $\lambda$.

Three types of gravitational modes (scalar, vector, tensor) exist in higher dimensions.

Scalar modes dominate late-time black hole ringing.

Abstract

We find the gravitational resonance (quasinormal) modes of the higher dimensional Schwarzschild and Reissner-Nordstrem black holes. The effect on the quasinormal behavior due to the presence of the $\lambda$ term is investigated. The QN spectrum is totally different for different signs of $\lambda$. In more than four dimensions there excited three types of gravitational modes: scalar, vector, and tensor. They produce three different quasinormal spectra, thus the isospectrality between scalar and vector perturbations, which takes place for D=4 Schwarzschild and Schwarzschild-de-Sitter black holes, is broken in higher dimensions. That is the scalar-type gravitational perturbations, connected with deformations of the black hole horizon, which damp most slowly and therefore dominate during late time of the black hole ringing.