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

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.

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