Quasi-Normal Modes of Massless Scalar Field around the 5D Ricci-flat Black String

Liu, Molin; Liu, Hongya; Gui, Yuanxing

Quasi-Normal Modes of Massless Scalar Field around the 5D Ricci-flat Black String

Authors

Liu, Molin

Liu, Hongya

Gui, Yuanxing

Description

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 $Λ$ 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.
revtex4 source file, 11 pages, 5 figures