期刊
CLASSICAL AND QUANTUM GRAVITY
卷 25, 期 10, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/25/10/105001
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As one candidate of the higher dimensional black holes, the 5D Ricci-flat black string is considered in this paper. By means of a non-trivial potential V-n, the quasi-normal modes of a massless scalar field around this black string space are studied. By using the classical third-order WKB approximation, we carefully analyze the evolution of frequencies in two aspects, one is the induced cosmological constant Lambda and the other is the quantum number n. The massless scalar field decays more slowly because of the existence of the fifth dimension and the induced cosmological constant. If an extra dimension has in fact existed near the black hole, the quasi-normal frequencies may have some indication of it.
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