Area spectra of the rotating BTZ black hole from quasinormal modes

Abstract

Following Bekenstein's suggestion that the horizon area of a black hole should be quantized, the discrete spectrum of the horizon area has been investigated in various ways. By considering the quasinormal mode of a black hole, we obtain the transition frequency of the black hole, analogous to the case of a hydrogen atom, in the semiclassical limit. According to Bohr's correspondence principle, this transition frequency at large quantum number is equal to classical oscillation frequency. For the corresponding classical system of periodic motion with this oscillation frequency, an action variable is identified and quantized via Bohr-Sommerfeld quantization, from which the quantized spectrum of the horizon area is obtained. This method can be applied for black holes with discrete quasinormal modes. As an example, we apply the method for the both non-rotating and rotating BTZ black holes and obtain that the spectrum of the horizon area is equally spaced and independent of the cosmological constant for both cases.

References in corpus (32)

• The Black Hole in Three Dimensional Space Time
• Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
• Spectroscopy of the quantum black hole
• Scalar, electromagnetic and Weyl perturbations of BTZ black holes: quasi normal modes
• The physical interpretation of the spectrum of black hole quasinormal modes
• d-Dimensional Black Hole Entropy Spectrum from Quasi-Normal Modes
• Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence
• Area spectrum of the Schwarzschild black hole
• Area spectrum of rotating black holes via the new interpretation of quasinormal modes
• Is gravitational entropy quantized ?
• Non-Rotating BTZ Black Hole Area Spectrum from Quasi-normal Modes
• Spectrum of Charged Black Holes - The Big Fix Mechanism Revisited
• On the Kerr Quantum Area Spectrum
• Area Spectrum of Extremal Reissner-Nordström Black Holes from Quasi-normal Modes
• Spinning Dilaton Black Holes in 2 +1 Dimensions: Quasi-normal Modes and the Area Spectrum
• Area Spectrum of Kerr and extremal Kerr Black Holes from Quasinormal Modes
• Hamiltonian spacetime dynamics with a spherical null-dust shell
• Algebraic approach to quantum black holes: logarithmic corrections to black hole entropy
• Quantization of the black hole area as quantization of the angular momentum component
• Discrete Spectra of Charged Black Holes
• Quantum-mechanical model of the Kerr-Newman black hole
• Quantization of Black Hole Entropy from Quasinormal Modes
• On the "Universal" Quantum Area Spectrum
• Quantum Spectrum for a Kerr-Newman Black Hole
• Kerr Black Hole as a Quantum Rotator
• The Quantum States and the Statistical Entropy of the Charged Black Hole
• The universal area spectrum in single-horizon black holes
• Quasinormal modes, quantized black holes, and correspondence principle
• Spectrum of rotating black holes and its implications for Hawking radiation
• Area Spectrum of the Large AdS Black Hole from Quasinormal Modes
• Quantized Black Holes, Their Spectrum and Radiation
• Area Spectrum of Near Extremal Black Branes from Quasi-normal Modes

Cited by in corpus (28)

• 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
• Quantum signatures of black hole mass superpositions
• On black hole spectroscopy via adiabatic invariance
• Quasi Normal Modes for New Type Black Holes in New Massive Gravity
• Spectroscopy of a Reissner-Nordström black hole via an action variable
• Periodicity and area spectrum of black holes
• Area spectrum of the d-dimensional Reissner-Nordstrom black hole in the small charge limit
• Area spectra versus entropy spectra in black holes in topologically massive gravity
• Quasi-normal Modes of Extremal Black Holes from Hidden Conformal Symmetry
• 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
• Scalar field instabilities in charged BTZ black holes
• 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
• Schrödinger's Black Hole Cat
• Area spectrum of Schwarzschild black hole inspired by noncommutative geometry
• Quasinormal modes of charged BTZ black holes
• Entropy spectra of single horizon black holes in two dimensions
• Spectroscopy of the rotating BTZ black hole via adiabatic invariance
• Quasinormal frequencies of a two-dimensional asymptotically anti-de Sitter black hole of the dilaton gravity theory
• Nonthermal correction to black hole spectroscopy
• Quantum correlation and origin of Hawking radiation for mass-superposed BTZ black holes
• Some properties of the de Sitter black holes in three dimensional spacetime
• On black hole spectroscopy via quantum tunneling
• Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes