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.

arXiv commentrevtex4 source file, 11 pages, 5 figures

References in corpus (31)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Quasi-Normal Modes of Stars and Black Holes
• Black Holes at the LHC
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• Kaluza-Klein Gravity
• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• Black holes on the brane
• Brane-World Black Holes
• Black Holes Radiate Mainly on the Brane
• Quasi-Normal Modes of Schwarzschild Anti-De Sitter Black Holes: Electromagnetic and Gravitational Perturbations
• Quasi-normal modes of Schwarzschild-de Sitter black holes
• Quasinormal modes of Reissner-Nordström-anti-de Sitter black holes: scalar, electromagnetic and gravitational perturbations
• Gravitational quasinormal radiation of higher-dimensional black holes
• Quasinormal modes of Schwarzschild black holes in four and higher dimensions
• Equivalence Between Space-Time-Matter and Brane-World Theories
• Quasi-Normal Modes of Brane-Localised Standard Model Fields
• Quasinormal modes of the electrically charged dilaton black hole
• Quasi-Normal Modes of Brane-Localised Standard Model Fields II: Kerr Black Holes
• Solar System Tests of Higher-Dimensional Gravity
• Scalar-gravitational perturbations and quasinormal modes in the five dimensional Schwarzschild black hole
• Classical confinement of test particles in higher-dimensional models: stability criteria and a new energy condition
• Gauge-Dependent Cosmological "Constant"
• Spacetime Measurements in Kaluza-Klein Gravity
• Exact Global Solutions of Brane Universes and Big Bounce
• Using (4+1) split and energy conditions to study the induced matter in 5D Ricc-flat cosmology
• The Real Solution to Scalar Field Equation in 5D Black String Space
• Radiation and Potential Barriers of a 5D Black String Solution

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• Vacuum polarization effects on quasinormal modes in electrically charged black hole spacetimes
• 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
• Asymptotic quasinormal modes of scalar field in a gravity's rainbow
• Fermion perturbations in string-theory black holes
• Quasinormal modes of semiclassical electrically charged black holes
• Gravitino perturbations in Schwarzschild black holes
• Object picture, quasinormal modes and late time tails of fermion perturbations in stringy black hole with U(1) charges
• New asymptotic Anti-de Sitter solution with a timelike extra dimension in 5D relativity