Spectroscopy of Kerr-AdS${}_5$ spacetime with the Heun function: Quasinormal modes, greybody factor, and evaporation

Abstract

We investigate quasinormal modes, greybody factor, and Hawking evaporation of a five-dimensional Kerr-anti de Sitter (AdS${}_5$) black hole by solving a wave equation for a test massive scalar field in terms of the local Heun function. We clarify the distribution of the quasinormal modes satisfying the ingoing and decaying boundary conditions at the event horizon and conformal infinity, respectively, and their splitting behaviors in the complex frequency plane with respect to a variation of spin parameters. We also point out the existence of purely imaginary modes. Further, we develop a method to extract in/outgoing waves near the AdS boundary, which enables us to define the greybody factor for a wide range of parameter space complementary to previous works. Using the greybody factor, we compute evaporation rates for mass and spins for the Kerr-AdS${}_5$ black hole via the Hawking radiation of the scalar field.

arXiv comment25 pages, 17 figures , Matches published version in PRD

References in corpus (56)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Quasinormal modes of black holes and black branes
• Quasi-Normal Modes of Stars and Black Holes
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Lectures on holographic methods for condensed matter physics
• Quasinormal modes of black holes: from astrophysics to string theory
• Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
• Quasinormal modes and holography
• Rotation and the AdS/CFT correspondence
• The First Law of Thermodynamics for Kerr-Anti-de Sitter Black Holes
• Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
• Quasi-Normal Modes of Schwarzschild Anti-De Sitter Black Holes: Electromagnetic and Gravitational Perturbations
• Hawking Radiation from AdS Black Holes
• Dynamics in Non-Globally-Hyperbolic Static Spacetimes III: Anti-de Sitter Spacetime
• Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter spacetimes: A complete study on the asymptotic behavior
• AdS/CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM
• Hydrodynamics of Holographic Superconductors
• Perturbations of Kerr-de Sitter Black Hole and Heun's Equations
• Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS
• Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdown
• A detailed study of quasinormal frequencies of the Kerr black hole
• Classical instability of Kerr-AdS black holes and the issue of final state
• The 192 Solutions of the Heun Equation
• Analytic treatment of black-hole gravitational waves at the algebraically special frequency
• Gravitational quasinormal modes for Kerr Anti-de Sitter black holes
• Superradiant Instability of Five-Dimensional Rotating Charged AdS Black Holes
• Greybody factors for rotating black holes in higher dimensions
• Stability of the Cauchy horizon in Kerr--de Sitter spacetimes
• Instabilities of Kerr-AdS_5 x S^5 Spacetime
• Kerr-de Sitter Greybody Factors via Isomonodromy
• Quasinormal modes of Kerr-de Sitter black holes via the Heun function
• Critical behavior of non-hydrodynamic quasinormal modes in a strongly coupled plasma
• Kerr-de Sitter Quasinormal Modes via Accessory Parameter Expansion
• Scalar quasinormal modes of Kerr-AdS${}_5$
• Superradiance in the BTZ black hole with Robin boundary conditions
• Asymptotic Quasinormal Frequencies of Different Spin Fields in Spherically Symmetric Black Holes
• Black hole evaporation in de Sitter space
• Purely imaginary quasinormal modes of the Kerr geometry
• Modes of the Kerr geometry with purely imaginary frequencies
• Black hole absorption cross-sections and the anti-de Sitter -- conformal field theory correspondence
• Evaporation of large black holes in AdS: greybody factor and decay rate
• Melting of heavy vector mesons and quasinormal modes in a finite density plasma from holography
• Exact solution for wave scattering from black holes: Formulation
• From quasinormal modes of rotating black strings to hydrodynamics of a moving CFT plasma
• AdS${}_3$/CFT Correspondence, Poincaré Vacuum State and Greybody Factors in BTZ Black Holes
• Quasinormal modes for arbitrary spins in the Schwarzschild background
• Dynamical stability and filamentary instability in holographic conductors
• Stability of small charged anti-de Sitter black holes in the Robin boundary
• Interferometry of black holes with Hawking radiation
• Extracting Hawking Radiation Near the Horizon of AdS Black Holes
• Global study of the scalar quasi-normal modes of Kerr-AdS${}_5$ black holes: Stability, thermality, and horizon area quantization
• Evaporation of Echoing Black Holes
• Ladder operators and quasinormal modes in Bañados-Teitelboim-Zanelli black holes

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