Asymptotic Spectroscopy of Rotating Black Holes

Abstract

We calculate analytically the transmission and reflection amplitudes for waves incident on a rotating black hole in d=4, analytically continued to asymptotically large, nearly imaginary frequency. These amplitudes determine the asymptotic resonant frequencies of the black hole, including quasinormal modes, total-transmission modes and total-reflection modes. We identify these modes with semiclassical bound states of a one-dimensional Schrodinger equation, localized along contours in the complexified r-plane which connect turning points of corresponding null geodesics. Each family of modes has a characteristic temperature and chemical potential. The relations between them provide hints about the microscopic description of the black hole in this asymptotic regime.

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References in corpus (22)

• Large N Field Theories, String Theory and Gravity
• The Black Hole in Three Dimensional Space Time
• Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
• Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
• Black Hole Greybody Factors and D-Brane Spectroscopy
• Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions
• The Black Hole Singularity in AdS/CFT
• Inside the Horizon with AdS/CFT
• Universal Low-Energy Dynamics for Rotating Black Holes
• Evolving test-fields in a black-hole geometry
• Quasinormal ringing of Kerr black holes: The excitation factors
• Quasinormal modes of Kerr-Newman black holes: coupling of electromagnetic and gravitational perturbations
• A detailed study of quasinormal frequencies of the Kerr black hole
• The asymptotic quasinormal mode spectrum of non-rotating black holes
• Highly damped quasinormal modes of Kerr black holes
• Highly Damped Quasinormal Modes of Kerr Black Holes: A Complete Numerical Investigation
• Exact Solutions of Regge-Wheeler Equation and Quasi-Normal Modes of Compact Objects
• Analytic treatment of black-hole gravitational waves at the algebraically special frequency
• Analytic Study of Rotating Black-Hole Quasinormal Modes
• New Formulation of the First Law of Black Hole Thermodynamics: A Stringy Analogy
• Quasinormal Modes and Black Hole Quantum Mechanics in 2+1 Dimensions
• Intermediate Asymptotics of the Kerr Quasinormal Spectrum

Cited by in corpus (31)

• Quasinormal modes of black holes and black branes
• Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown
• Area spectrum of rotating black holes via the new interpretation of quasinormal modes
• Classes of Exact Solutions to the Teukolsky Master Equation
• Mixing of spherical and spheroidal modes in perturbed Kerr black holes
• On the Kerr Quantum Area Spectrum
• Black hole spectroscopy via adiabatic invariance
• The Hawking effect and the bounds on greybody factor for higher dimensional Schwarzschild black holes
• Area spectrum of near-extremal SdS black holes via the new interpretation of quasinormal modes
• Thermal Ringdown of a Kerr Black Hole: Overtone Excitation, Fermi-Dirac Statistics and Greybody Factor
• A Note on the Lower Bound of Black Hole Area Change in Tunneling Formalism
• Area spectrum of slowly rotating black holes
• Spectroscopy of Extremal (and Near-Extremal) Kerr Black Holes
• Generalized hidden Kerr/CFT
• Analytic Investigation of the Branch Cut of the Green Function in Schwarzschild Space-time
• Spectroscopy of the Schwarzschild Black Hole at Arbitrary Frequencies
• The Branch Cut and Quasi-normal Modes at Large Imaginary Frequency in Schwarzschild Space-time
• Entropy spectra of black holes from resonance modes in scattering by the black holes
• Asymptotic Spectrum of Kerr Black Holes in the Small Angular Momentum Limit
• Hidden Kerr/CFT at finite frequencies
• New total transmission modes of the Kerr geometry with Schwarzschild limit frequencies at complex infinity
• pp-Waves and the Hidden Symmetries of Black Hole Quasinormal Modes
• Spin-1 Quasi-normal Frequencies in Schwarzschild space-time for Large Overtone Number
• Thermal behavior of a radially deformed black hole spacetime
• Kerr Scattering Coefficients via Isomonodromy
• Greybody factors of string-corrected d-dimensional black holes
• Scattering on Quasi-Spherical Black-Holes: Features and Beyond
• On Challenges to Separability of the Dirac Equation in Kerr Geometry under Compact Hyperboloidal Coordinates
• Spectral instability of parametrized black hole quasinormal modes in the high-overtone limit via the exact WKB analysis
• The black-hole area spectrum in the tunneling formalism with GUP
• Pseudospectrum and (in)stability of black hole total transmission modes