Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-06-17
Class.Quant.Grav.25:105001,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
revtex4 source file, 11 pages, 5 figures
Scientific paper
10.1088/0264-9381/25/10/105001
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 is studied. By using the classical third order WKB approximation, we analyse carefully 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 existences of the fifth dimension and the induced cosmological constant. If extra dimension has in fact existed near black hole, those quasi-normal frequencies may have some indication on it.
Gui Yuanxing
Liu Hongya
Liu Molin
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