Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability

Abstract

The squashed Kaluza-Klien (KK) black holes differ from the Schwarzschild black holes with asymptotic flatness or the black strings even at energies for which the KK modes are not excited yet, so that squashed KK black holes open a window in higher dimensions. Another important feature is that the squashed KK black holes are apparently stable and, thereby, let us avoid the Gregory-Laflamme instability. In the present paper, the evolution of scalar and gravitational perturbations in time and frequency domains is considered for these squashed KK black holes. The scalar field perturbations are analyzed for general rotating squashed KK black holes. Gravitational perturbations for the so called zero mode are shown to be decayed for non-rotating black holes, in concordance with the stability of the squashed KK black holes. The correlation of quasinormal frequencies with the size of extra dimension is discussed.

arXiv comment12 pages, 6 figures

References in corpus (57)

• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Black Strings and p-Branes are Unstable
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• Quasinormal modes and holography
• Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations
• Viscosity, Black Holes, and Quantum Field Theory
• Black Holes in Theories with Large Extra Dimensions: a Review
• Master equations for perturbations of generalised static black holes with charge in higher dimensions
• Stability of Higher-Dimensional Schwarzschild Black Holes
• Quasinormal Modes of Near Extremal Black Branes
• A Model for High Energy Scattering in Quantum Gravity
• AdS/CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM
• Gravitational Radiation in D-dimensional Spacetimes
• Instabilities of Black Strings and Branes
• Decay of massive scalar field in a Schwarzschild background
• Quasinormal modes of Schwarzschild black holes in four and higher dimensions
• Massive quasi-normal mode
• Stability and quasinormal modes of the massive scalar field around Kerr black holes
• Quasinormal modes of the charged black hole in Gauss-Bonnet gravity
• Quasinormal modes of d-dimensional spherical black holes with a near extreme cosmological constant
• (In)stability of D-dimensional black holes in Gauss-Bonnet theory
• Quasinormal modes of D-dimensional de Sitter spacetime
• Quasinormal modes of maximally charged black holes
• Kaluza-Klein Black Holes with Squashed Horizons
• Scalar field evolution in Gauss-Bonnet black holes
• Massive scalar field quasi-normal modes of higher dimensional black holes
• Supersymmetric 4D Rotating Black Holes from 5D Black Rings
• Stability of multidimensional black holes: complete numerical analysis
• Quasi-Normal Modes of Brane-Localised Standard Model Fields
• Massive charged scalar field in a Reissner-Nordstrom black hole background: quasinormal ringing
• 5D Black Rings and 4D Black Holes
• Quasi-Normal Modes of Brane-Localised Standard Model Fields II: Kerr Black Holes
• A Rotating Kaluza-Klein Black Hole with Squashed Horizons
• Kaluza-Klein Multi-Black Holes in Five-Dimensional Einstein-Maxwell Theory
• Asymptotic Quasinormal Frequencies of d-dimensional Schwarzschild Black Holes
• Black Holes on Eguchi-Hanson Space in Five-Dimensional Einstein-Maxwell Theory
• Charged Rotating Kaluza-Klein Black Holes in Five Dimensions
• Electromagnetic quasinormal modes of D-dimensional black holes
• Dirac quasinormal modes of D-dimensional de Sitter spacetime
• Hawking radiation in a Rotating Kaluza-Klein Black Hole with Squashed Horizons
• A Note on Separability of Field Equations in Myers-Perry Spacetimes
• Dilaton black holes with squashed horizons and their thermodynamics
• Stability of Squashed Kaluza-Klein Black Holes
• Mass and Thermodynamics of Kaluza-Klein Black Holes with Squashed Horizons
• Topology Change of Coalescing Black Holes on Eguchi-Hanson Space
• Hawking Radiation from Squashed Kaluza-Klein Black Holes -- A Window to Extra Dimensions --
• Thermodynamics of Squashed Kaluza-Klein Black Holes and Black Strings -- A Comparison of Reference Backgrounds --
• Kaluza-Klein black holes with squashed horizons and $d=4$ superposed monopoles
• Cosmological Black Holes on Taub-NUT space in Five-Dimensional Einstein-Maxwell Theory
• Mass and Free energy in Thermodynamics of Squashed Kaluza-Klein Black Holes
• Coalescence of Rotating Black Holes on Eguchi-Hanson Space
• The Highly Damped Quasinormal Modes of $d$-dimensional Reissner-Nordstrom Black Holes in the Small Charge Limit
• Perturbative Calculation of Quasinormal Modes of $d$--Dimensional Black Holes
• Fate of Kaluza-Klein Black Holes: Evaporation or Excision?
• Quasinormal frequencies of D-dimensional Schwarzschild black holes: evaluation via continued fraction method

Cited by in corpus (73)

• Quasinormal modes of black holes and black branes
• Quasinormal modes of black holes: from astrophysics to string theory
• Wormholes versus black holes: quasinormal ringing at early and late times
• Towards constraining of the Horava-Lifshitz gravities
• Instability of higher dimensional charged black holes in the de-Sitter world
• Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
• Einstein-Maxwell-Dilaton theories with a Liouville potential
• Gravitational stability of simply rotating Myers-Perry black holes: tensorial perturbations
• Gravitational instability of simply rotating AdS black holes in higher dimensions
• Long-lived quasinormal modes and overtones' behavior of the holonomy corrected black holes
• Black holes in Starobinsky-Bel-Robinson Gravity and the breakdown of quasinormal modes/null geodesics correspondence
• Instability of D-dimensional extremally charged Reissner-Nordstrom(-de Sitter) black holes: Extrapolation to arbitrary D
• Strong gravitational lensing in a squashed Kaluza-Klein black hole spacetime
• Late time decay of scalar and Dirac fields around an asymptotically de Sitter black hole in the Euler-Heisenberg electrodynamics
• Shadow of a rotating squashed Kaluza-Klein black hole
• Stability of Lovelock Black Holes under Tensor Perturbations
• Extremal Kerr/CFT correspondence of five-dimensional rotating (charged) black holes with squashed horizons
• Looking at the Gregory-Laflamme instability through quasi-normal modes
• Instability of Small Lovelock Black Holes in Even-dimensions
• Graviton Emission in the Bulk by a Simply Rotating Black Hole
• Quasinormal spectrum of $(2+1)$-dimensional asymptotically flat, dS and AdS black holes
• Asymptotic decay and quasinormal frequencies of scalar and Dirac fields around dilaton-de Sitter black holes
• Evolution of Brane-Localised Standard Model Fields in Gauss-Bonnet theory
• Quasinormal modes of charged squashed Kaluza-Klein black holes in the Gödel Universe
• Fatal Effects of Charges on Stability of Black Holes in Lovelock Theory
• Hawking radiation as tunneling from squashed Kaluza-Klein black hole
• Separability of Gravitational Perturbation in Generalized Kerr-NUT-de Sitter Spacetime
• Strong gravitational lensing in a rotating Kaluza-Klein black hole with squashed horizons
• Gravitational waves and extra dimensions: a short review
• Thin accretion disk around a Kaluza-Klein black hole with squashed horizons
• Quasinormal modes of Einstein--scalar--Gauss--Bonnet black holes
• Quasinormal Modes of Dilaton Black Holes: Analytic approximations
• Stability of asymptotically flat (2+1)-dimensional black holes with Gauss-Bonnet corrections
• Quasinormal modes of charged black holes in Asymptotically Safe Gravity
• A simple test for stability of black hole by $S$-deformation
• Overtones of black holes via time-domain integration
• Strong Gravitational Lensing in a Charged Squashed Kaluza- Klein Black hole
• Long-lived quasinormal modes, grey-body factors and absorption cross-section of the black hole immersed in the Hernquist galactic halo
• Strong Gravitational Lensing in a Charged Squashed Kaluza- Klein Gödel Black hole
• Telling late-time tails for a massive scalar field in the background of brane-localized black holes
• Quasinormal modes for asymptotic safe black holes
• Superradiance and instability of the charged Myers-Perry black holes in the Gödel Universe
• Vacuum polarization effects on quasinormal modes in electrically charged black hole spacetimes
• Warped AdS_5 Black Holes and Dual CFTs
• Light deflection by squashed Kaluza-Klein black holes in a plasma medium
• Thermodynamics of five-dimensional static three-charge STU black holes with squashed horizons
• Fermions Analysis of IR modified Horava-Lifshitz gravity: Tunneling and Perturbation Perspectives
• Long-Lived Quasinormal Modes of Brane-Localized Reissner-Nordström--de Sitter Black Holes
• Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity
• Quasinormal Modes and Gray-Body Factors for Gravitational Perturbations in Asymptotically Safe Gravity
• Gravitational Spectra and Wave Propagation in Regular Black Holes Supported by a Dehnen Halo
• Telling tails and quasi-resonances in the vicinity of Dymnikova regular black hole
• Stability analysis of Squashed Kaluza-Klein Black Holes with Charge
• AdS-like spectrum of the asymptotically Gödel space-times
• Long-lived modes and grey-body factors of massive fields in quantum-corrected (Hayward) black holes
• Quasinormal ringing of thick braneworlds with a finite extra dimension
• Superradiant stability of five and six-dimensional extremal Reissner-Nordstrom black holes
• Gravitational quasinormal modes of Dymnikova black holes
• No black hole bomb for D-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation
• Fermion perturbations in string-theory black holes
• Massive fields affected by echoes: New physics vs. astrophysical environment
• Quasinormal modes of semiclassical electrically charged black holes
• Static conformal elastic solution of Einstein's field equations
• Gravitino perturbations in Schwarzschild black holes
• Six-dimensional non-extremal Reissner-Nordstrom black hole, charged massive scalar perturbation and black hole bomb
• New forms and thermodynamics of the neutral rotating squashed black hole in five-dimensional vacuum Einstein gravity theory
• Two types of quasinormal modes of Casadio-Fabbri-Mazzacurati brane-world black holes
• Scalar, electromagnetic, and Dirac perturbations of regular black holes constituting primordial dark matter
• Ringing Regularity: Gravitational Perturbations and Quasinormal Modes of Einasto-Supported Black Holes
• Static four-charge squashed black hole in five-dimensional $STU-W^{2}U$ supergravity and its thermodynamics
• On the five-dimensional non-extremal Reissner-Nordström black hole: Retractions and scalar quasibound states
• Higher-dimensional non-extremal Reissner-Nordstrom black holes, scalar perturbation and superradiance: an analytical study
• Grey-Body Factors and Thermodynamics of Asymptotically de Sitter Black Holes in Generalized Proca Theory