Massive scalar field quasi-normal modes of higher dimensional black holes

TL;DR

This paper investigates the quasinormal modes of massive scalar fields around higher-dimensional black holes, revealing unique mass-dependent behaviors and extending numerical methods for calculating these frequencies.

Contribution

It introduces a detailed analysis of the mass dependence of quasinormal modes in higher dimensions and generalizes the continued fraction technique for such calculations.

Findings

Fundamental modes show different mass dependence for D≥6.

Higher modes behave similarly across all dimensions.

Asymptotic overtones are independent of field mass.

Abstract

We study quasinormal spectrum of massive scalar field in the $D$-dimensional black hole background. We found the qualitatively different dependence on the field mass of the fundamental modes for $D\geq6$. The behaviour of higher modes is qualitatively the same for all $D$. Thus for some particular values of mass (of the field and of the black hole) the spectrum has two dominating oscillations with a very long lifetime. Also we show that the asymptotically high overtones do not depend on the field mass. In addition, we present the generalisation of the Nollert improvement of the continued fraction technique for the numerical calculation of quasi-normal frequencies of $D$-dimensional black holes.