Quasinormal Modes and Black Hole Quantum Mechanics in 2+1 Dimensions

Abstract

We explore the relationship between classical quasinormal mode frequencies and black hole quantum mechanics in 2+1 dimensions. Following a suggestion of Hod, we identify the real part of the quasinormal frequencies with the fundamental quanta of black hole mass and angular momentum. We find that this identification leads to the correct quantum behavior of the asymptotic symmetry algebra, and thus of the dual conformal field theory. Finally, we suggest a further connection between quasinormal mode frequencies and the spectrum of a set of nearly degenerate ground states whose multiplicity may be responsible for the Bekenstein-Hawking entropy.

8 pages, LaTeX; references added and corrected, introduction and conclusion slightly expanded

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• Highly damped quasinormal modes of Kerr black holes
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• Can Spacetime be a Condensate?
• Spinning Dilaton Black Holes in 2 +1 Dimensions: Quasi-normal Modes and the Area Spectrum
• Chern-Simons black holes: scalar perturbations, mass and area spectrum and greybody factors
• Quasinormal Modes of Extremal BTZ Black Hole
• Quasinormal Modes and Greybody Factors of $f(R)$ gravity minimally coupled to a cloud of strings in $2+1$ Dimensions
• Asymptotic Quasinormal Frequencies of d-dimensional Schwarzschild Black Holes
• Electromagnetic quasinormal modes of D-dimensional black holes
• Asymptotic Spectroscopy of Rotating Black Holes
• Scalar-gravitational perturbations and quasinormal modes in the five dimensional Schwarzschild black hole
• High frequency quasi-normal modes for black-holes with generic singularities
• High frequency quasi-normal modes for black holes with generic singularities II: Asymptotically non-flat spacetimes
• Stretched horizons, quasiparticles and quasinormal modes
• Non-Quasinormal Modes and Black Hole Physics
• Highly Damped Quasinormal Modes of Generic Single Horizon Black Holes
• Intermediate Asymptotics of the Kerr Quasinormal Spectrum
• The Highly Damped Quasinormal Modes of $d$-dimensional Reissner-Nordstrom Black Holes in the Small Charge Limit
• The universal area spectrum in single-horizon black holes
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• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
• Continuous area spectrum in regular black hole
• Quasinormal modes of charged BTZ black holes
• Adiabatic analysis of the rotating BTZ black hole
• Aspects of regular and singular electromagnetic-generalized-quasitopological-gravities black holes in (2+1) dimensions
• Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes