On the Kerr Quantum Area Spectrum

Abstract

Suppose that there is a quantum operator that describes the horizon area of a black hole. Then what would be the form of the ensuing quantum spectrum? In this regard, it has been conjectured that the characteristic frequencies of the black hole oscillations can be used to calibrate the spacing between the spectral levels. The current article begins with a brief review of this conjecture and some of its subsequent developments. We then suggest a simple but vital modification to a recent treatment on the Kerr (or rotating black hole) spectrum. As a consequence of this refinement, we are able to rectify a prior inconsistency (as was found between two distinct calculations) and to establish, unambiguously, a universal form for the Kerr and Schwarzschild spectra.

Roughly 8 pages; (v2) added references and very minor changes

References in corpus (13)

• Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
• Hawking Radiation and Black Hole Thermodynamics
• Spectroscopy of the quantum black hole
• Black hole entropy from Quantum Geometry
• The physical interpretation of the spectrum of black hole quasinormal modes
• d-Dimensional Black Hole Entropy Spectrum from Quasi-Normal Modes
• Highly Damped Quasinormal Modes of Kerr Black Holes: A Complete Numerical Investigation
• Spectrum of Charged Black Holes - The Big Fix Mechanism Revisited
• Analytic Study of Rotating Black-Hole Quasinormal Modes
• Quantum-mechanical model of the Kerr-Newman black hole
• Asymptotic Spectroscopy of Rotating Black Holes
• Quantum Spectrum for a Kerr-Newman Black Hole
• Kerr Black Hole as a Quantum Rotator

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• Is gravitational entropy quantized ?
• Gravitational wave echoes from black hole area quantization
• Quantum tunneling and black hole spectroscopy
• Black hole spectroscopy via adiabatic invariance
• Analytical solutions in rotating linear dilaton black holes: resonant frequencies, quantization, greybody factor, and Hawking radiation
• Spinning Dilaton Black Holes in 2 +1 Dimensions: Quasi-normal Modes and the Area Spectrum
• Area spectra of the rotating BTZ black hole from quasinormal modes
• Stability Analysis and Area Spectrum of 3-Dimensional Lifshitz Black Holes
• Entropy/Area spectra of the charged black hole from quasinormal modes
• Chern-Simons black holes: scalar perturbations, mass and area spectrum and greybody factors
• Quantization of the black hole area as quantization of the angular momentum component
• Area spectrum of the D-dimensional de Sitter spacetime
• Area spectrum of near-extremal SdS black holes via the new interpretation of quasinormal modes
• On black hole spectroscopy via adiabatic invariance
• Quasi Normal Modes for New Type Black Holes in New Massive Gravity
• Quantization of Black Hole Entropy from Quasinormal Modes
• On the "Universal" Quantum Area Spectrum
• Quantum corrections and black hole spectroscopy
• Quantization of rotating linear dilaton black holes
• Spectroscopy of a Reissner-Nordström black hole via an action variable
• A Note on the Lower Bound of Black Hole Area Change in Tunneling Formalism
• Periodicity and area spectrum of black holes
• Area spectrum of slowly rotating black holes
• Noncommutative scalar quasinormal modes and quantization of entropy of a BTZ black hole
• Effective state, Hawking radiation and quasi-normal modes for Kerr black holes
• Quantization of Higher Dimensional Linear Dilaton Black Hole Area/Entropy From Quasinormal Modes
• Back reaction, emission spectrum and entropy spectroscopy
• Quasinormal modes of charged dilaton black holes and their entropy spectra
• Area spectra of near extremal black holes
• Area spectrum of the d-dimensional Reissner-Nordstrom black hole in the small charge limit
• Spectroscopy of Rotating Linear Dilaton Black Holes From Boxed Quasinormal Modes
• Quantum black hole spectroscopy: probing the quantum nature of the black hole area using LIGO-Virgo ringdown detections
• Area spectra versus entropy spectra in black holes in topologically massive gravity
• Resonance Spectra of Caged Stringy Black Hole and Its Spectroscopy
• Entropy spectra of black holes from resonance modes in scattering by the black holes
• Entropy spectrum of a Kerr anti-de Sitter black hole
• Quasinormal modes and entropy spectrum of three dimensional Godel black hole
• Asymptotic Spectrum of Kerr Black Holes in the Small Angular Momentum Limit
• Quasi normal modes and the area spectrum of a near extremal de Sitter black hole with conformally coupled scalar field
• Entropy spectrum of the D-dimensional massless topological black hole
• Entropy spectra of single horizon black holes in two dimensions
• Gravitational surface Hamiltonian and entropy quantization
• Spectroscopy of $z=0$ Lifshitz Black Hole
• Spectroscopy of the Einstein-Maxwell-Dilaton-Axion black hole
• D-bound and Bekenstein bound for McVittie solution surrounded by dark energy cosmological fields
• Area spectrum and thermodynamics of KS black holes in Hořava gravity
• Non-extremal Reissner-Nordstrom black hole: Do asymptotic quasi-normal modes carry information about the quantum properties of the black hole?
• Initiating the effective unification of black hole horizon area and entropy quantization with quasi-normal modes
• Spectroscopy of Stringy Black Hole
• Symplectic structure for general relativity and Einstein-Brillouin-Keller quantization
• Asymptotic quasinormal frequencies of different spin fields in $d$-dimensional spherically-symmetric black holes
• Thermodynamics of spacetime from minimal area