Quantization of the black hole area as quantization of the angular momentum component

Abstract

In transforming from Schwarzschild to Euclidean Rindler coordinates the Schwarzschild time transforms to a periodic angle. As is well-known, this allows one to introduce the Hawking temperature and is an origin of black hole thermodynamics. On the other hand, according to quantum mechanics this angle is conjugate to the $z$ component of the angular momentum. From the commutation relation and quantization condition for the angular momentum component it is found that the area of the horizon of a Schwarzschild black hole is quantized with the quantum $\Delta A=8\pi l_P^2$. It is shown that this conclusion is also valid for a generic Kerr-Newman black hole.

4 pages (revtex), no figures; a boundary condition for the differential equation (15) added; the absent of the remnants in the approach noted; a reference added; accepted by Physical Review D for publication

References in corpus (11)

• Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
• The physical interpretation of the spectrum of black hole quasinormal modes
• d-Dimensional Black Hole Entropy Spectrum from Quasi-Normal Modes
• Area spectrum of rotating black holes via the new interpretation of quasinormal modes
• Spectrum of Charged Black Holes - The Big Fix Mechanism Revisited
• Quantum Black Holes as Atoms
• On the Kerr Quantum Area Spectrum
• Quantum Spectrum for a Kerr-Newman Black Hole
• Time as a quantum observable
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Cited by in corpus (21)

• 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
• Area spectrum of the D-dimensional de Sitter spacetime
• On the "Universal" Quantum Area Spectrum
• 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
• The quantum of area $\Delta A=8\pi l_P^2$ and a statistical interpretation of black hole entropy
• Area spectrum of the d-dimensional Reissner-Nordstrom black hole in the small charge limit
• Entropy spectra of black holes from resonance modes in scattering by the black holes
• Entropy spectrum of a Kerr anti-de Sitter black hole
• Quantization of horizon area of Kerr-Newman-de Sitter black hole
• Entropy spectra of single horizon black holes in two dimensions
• Gravitational surface Hamiltonian and entropy quantization
• Spectroscopy of the Einstein-Maxwell-Dilaton-Axion black hole
• Yet More on the Universal Quantum Area Spectrum
• Black hole motion in Euclidean space as a diffusion process
• Nonthermal correction to black hole spectroscopy
• Central charge
• Area spectrum of extremal black holes with warped AdS near-horizon geometry