On black hole spectroscopy via quantum tunneling

Abstract

In recent work [\emph{Quantum tunneling and black hole spectroscopy, Phys. Lett.} B686 (2010) 279, arXiv:0907.4271, by Banerjee et al.], it has been shown, in the tunneling mechanism, the area spacing parameter of a black hole horizon is given by $\gamma =4$. In this paper, by carefully analyzing the tunneling process of the black hole radiation, we interestingly find that the most qualified candidate for a universal area gap in the tunneling mechanism is $\gamma =8\pi$. First, we develop the Banerjee's treatment and the Kunstatter's conjecture to revisit the black hole spectroscopy via quantum tunneling, and find for a real tunneling process, the area spacing parameter is given by the possible value $\gamma \ge 4$. That is, the previous model-dependent area spacing parameters, i.e. $\gamma =8\pi ,4\ln 3,4$, are all possible in the tunneling mechanism. Finally, some discussions are followed to find, in the tunneling mechanism, $\gamma =8\pi$ is the most qualified candidate for a universal area spacing parameter.

arXiv comment10 pages, submitted

References in corpus (26)

• Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
• Particle production and complex path analysis
• The physical interpretation of the spectrum of black hole quasinormal modes
• d-Dimensional Black Hole Entropy Spectrum from Quasi-Normal Modes
• Hawking black body spectrum from tunneling mechanism
• Hawking radiation and black hole spectroscopy in Horava-Lifshitz gravity
• Area spectrum of rotating black holes via the new interpretation of quasinormal modes
• Is gravitational entropy quantized ?
• Quantum tunneling and black hole spectroscopy
• Black hole spectroscopy via adiabatic invariance
• 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
• Area spectra of the rotating BTZ black hole from quasinormal modes
• Entropy/Area spectra of the charged black hole from quasinormal modes
• Quantization of Black Hole Entropy from Quasinormal Modes
• Quantum corrections and black hole spectroscopy
• A Note on the Lower Bound of Black Hole Area Change in Tunneling Formalism
• Building blocks of a black hole
• Area spectrum of slowly rotating black holes
• Back reaction, emission spectrum and entropy spectroscopy
• Role of Horizons in Semiclassical Gravity: Entropy and the Area Spectrum
• Area spectra versus entropy spectra in black holes in topologically massive gravity
• A note about the quantum of area in a non-commutative space
• Entropy spectra of black holes from resonance modes in scattering by the black holes
• A brief commentary on black hole entropy
• Yet More on the Universal Quantum Area Spectrum