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

Abstract

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.

revtex4 source file, 11 pages, 5 figures

References in corpus (5)

• Quasi-Normal Modes of Brane-Localised Standard Model Fields
• Quasi-Normal Modes of Brane-Localised Standard Model Fields II: Kerr Black Holes
• The Real Solution to Scalar Field Equation in 5D Black String Space
• Using (4+1) split and energy conditions to study the induced matter in 5D Ricc-flat cosmology
• Radiation and Potential Barriers of a 5D Black String Solution

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• Fermions Analysis of IR modified Horava-Lifshitz gravity: Tunneling and Perturbation Perspectives
• Quantum Statistical Entropy and Minimal Length of 5D Ricci-flat Black String with Generalized Uncertainty Principle
• Fermion perturbations in string-theory black holes
• Quasinormal modes of semiclassical electrically charged black holes
• Gravitino perturbations in Schwarzschild black holes