Quantum tunneling and black hole spectroscopy

Abstract

The entropy-area spectrum of a black hole has been a long-standing and unsolved problem. Based on a recent methodology introduced by two of the authors, for the black hole radiation (Hawking effect) as tunneling effect, we obtain the entropy spectrum of a black hole. In Einstein's gravity, we show that both entropy and area spectrum are evenly spaced. But in more general theories (like Einstein-Gauss-Bonnet gravity), although the entropy spectrum is equispaced, the corresponding area spectrum is not.

10 pages, LaTeX, no figures; v2: 9 pages, now, title changed, minor changes to match published version in Phys. Lett. B

References in corpus (24)

• Fermions Tunnelling from Black Holes
• The physical interpretation of the spectrum of black hole quasinormal modes
• Charged Fermions Tunnelling from Kerr-Newman Black Holes
• Quantum Tunneling and Back Reaction
• Noncommutative Black Hole Thermodynamics
• Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
• Temporal contribution to gravitational WKB-like calculations
• Subtleties in the quasi-classical calculation of Hawking radiation
• Fermion Tunneling from Dynamical Horizons
• Fermion Tunneling Beyond Semiclassical Approximation
• Hawking black body spectrum from tunneling mechanism
• Quantum Tunneling and Trace Anomaly
• Hawking temperature from tunnelling formalism
• Corrected entropy of BTZ black hole in tunneling approach
• Fermions tunnelling from the charged dilatonic black holes
• Area spectrum of rotating black holes via the new interpretation of quasinormal modes
• Is gravitational entropy quantized ?
• Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method
• On the Kerr Quantum Area Spectrum
• Hawking Radiation from Kerr-Newman Black Hole and Tunneling Mechanism
• Quantization of Black Hole Entropy from Quasinormal Modes
• Gibbs' paradox and black-hole entropy
• Observer Dependent Horizon Temperatures: a Coordinate-Free Formulation of Hawking Radiation as Tunneling
• Tunneling across dilaton-axion black holes

Cited by in corpus (48)

• Tunnelling Methods and Hawking's radiation: achievements and prospects
• Hawking radiation and black hole spectroscopy in Horava-Lifshitz gravity
• Black hole spectroscopy via adiabatic invariance
• Statistical Origin of Gravity
• Hawking Radiation from Elko Particles Tunnelling across Black Strings Horizon
• Stability Analysis and Area Spectrum of 3-Dimensional Lifshitz Black Holes
• Entropy/Area spectra of the charged black hole from quasinormal modes
• Thermodynamics and Spectroscopy of Schwarzschild black hole surrounded by Quintessence
• Quantum signatures of black hole mass superpositions
• On black hole spectroscopy via adiabatic invariance
• 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
• Spacing of the entropy spectrum for KS Black hole in Horava-Lifshitz gravity
• Periodicity and area spectrum of black holes
• Area spectrum of slowly rotating black holes
• Hawking radiation as tunneling from squashed Kaluza-Klein black hole
• Back reaction, emission spectrum and entropy spectroscopy
• Area spectra of near extremal black holes
• The quantum of area $\Delta A=8\pi l_P^2$ and a statistical interpretation of black hole entropy
• Fokker-Planck equation for black holes in thermal potential
• Quantum tunneling and spectroscopy of noncommutative inspired Kerr black hole
• Revisit emission spectrum and entropy quantum of the Reissner-Nordström black hole
• From black holes to emergent gravity
• Thermodynamics of a charged hairy black hole in (2+1) dimensions
• Entropy spectrum of a Kerr anti-de Sitter black hole
• Hawking radiation in a non-covariant frame: the Jacobi metric approach
• Tunnelling mechanism in non-commutative space with generalized uncertainty principle and Bohr-like black hole
• Gravitational surface Hamiltonian and entropy quantization
• Area spectrum of Schwarzschild black hole inspired by noncommutative geometry
• Analytic solutions in the acoustic black hole analogue of the conical Kerr metric
• Spectroscopy of the Einstein-Maxwell-Dilaton-Axion black hole
• Entropy spectrum of the apparent horizon of Vaidya black holes via adiabatic invariance
• Higher Spins Tunneling from a Time Dependent and Spherically Symmetric Black Hole
• Invariance of the Hamilton-Jacobi tunneling method for black holes and FRW model
• Emergent gravity: From statistical point of view
• Back reaction, covariant anomaly and effective action
• Hawking Radiation and Tunneling Mechanism for a New Class of Black Holes in Einstein-Gauss-Bonnet Gravity
• Hawking radiation of Reissner-Nordstrom-de Sitter black hole by Hamilton-Jacobi method
• Recent Attempts in the Analysis of Black Hole Radiation
• Hawking Radiation in the Spacetime of White Holes
• Initiating the effective unification of black hole horizon area and entropy quantization with quasi-normal modes
• Some properties of the de Sitter black holes in three dimensional spacetime
• Effects of curvature and gravity from flat spacetime
• Scalar particles tunneling radiation in the Demianski-Newman spacetime with influences of quantum gravity
• On black hole spectroscopy via quantum tunneling
• The Accurate Modification of Tunneling Radiation of Fermions with Arbitrary Spin in Kerr-de Sitter Black Hole Space-time