Quasinormal Modes of Scalar Field in Five-dimensional Lovelock Black Hole Spacetime

TL;DR

This study calculates the quasinormal modes of scalar fields around five-dimensional Lovelock black holes using the third-order WKB method, revealing effects of Lovelock corrections and cosmological constant on decay and oscillation behaviors.

Contribution

It is the first detailed analysis of scalar quasinormal modes in five-dimensional Lovelock black hole spacetime using the third-order WKB approximation.

Findings

Lovelock corrections slow scalar decay and increase oscillation frequency.

Cosmological constant slows decay and reduces oscillation frequency.

Quasinormal frequencies are weakly dependent on angular quantum number.

Abstract

In this paper using the third-order WKB approximation, a numerical method devised by Schutz, Will and Iyer, we investigate the quasinormal frequencies of the scalar field in the background of five-dimensional Lovelock black hole. We find that the ultraviolet correction to Einstein theory in the Lovelock theory makes the scalar field decay more slowly and makes the scalar field oscillate more quickly, and the cosmological constant makes the scalar field decay more slowly and makes the scalar field oscillate more slowly in Lovelock black hole backgroud. On the other hand we also find that quasinormal frequencies depend very weakly on the angular quantum number $l$.