Quasinormal Modes of Lovelock Black Holes

TL;DR

This paper analyzes the quasinormal modes of Lovelock black holes, revealing asymptotic behaviors and how these modes vary with spacetime dimensions and curvature orders, combining analytical and numerical methods.

Contribution

It provides the first detailed analytical and numerical study of quasinormal modes in Lovelock black holes across various dimensions and curvature orders.

Findings

Imaginary parts of frequencies become constant as l→∞.

Modes increase with higher curvature order k.

Lower frequencies in higher dimensions d.

Abstract

The quasinormal modes of metric perturbations in asymptotically flat black hole spacetimes in the Lovelock model are calculated for different spacetime dimensions and higher orders of curvature. It is analytically established that in the asymptotic limit $l \rightarrow \infty$, the imaginary parts of the quasi normal frequencies become constant for tensor, scalar as well as vector perturbations. Numerical calculation shows that this indeed is the case. Also, the real and imaginary parts of the quasinormal modes are seen to increase as the order of the theory $k$ increases. The real part of the modes decreases as the spacetime dimension $d$ increases, indicating the presence of lower frequency modes in higher dimensions. Also, it is seen that the modes are roughly isospectral at very high values of the spacetime dimension $d$.