Black hole quantum tunnelling and black hole entropy correction

Abstract

Parikh-Wilczek tunnelling framework, which treats Hawking radiation as a tunnelling process, is investigated again. As the first order correction, the log-corrected entropy-area relation naturally emerges in the tunnelling picture if we consider the emission of a spherical shell. The second order correction of the emission rate for the Schwarzschild black hole is calculated too. In this level, the result is still in agreement with the unitary theory, however, the entropy of the black hole will contain three parts: the usual Bekenstein-Hawking entropy, the logarithmic term and the inverse area term. In our results the coefficient of the logarithmic term is -1. Apart from a coefficient, Our correction to the black hole entropy is consistent with that of loop quantum gravity.

9 pages

References in corpus (33)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• Hawking Radiation as Tunneling
• Quantum Geometry and Black Hole Entropy
• Black hole entropy in Loop Quantum Gravity
• Black Hole Entropy from Loop Quantum Gravity
• Logarithmic correction to the Bekenstein-Hawking entropy
• Black hole entropy from Quantum Geometry
• A Secret Tunnel Through The Horizon
• Hawking radiation as tunneling from the Kerr and Kerr-Newman black holes
• Radiation via Tunneling from a de Sitter Cosmological Horizon
• Hawking Radiation from AdS Black Holes
• Quantum Tunneling and Back Reaction
• Hawking Radiation as Tunneling through the Quantum Horizon
• Charged particles' tunnelling from the Kerr-Newman black hole
• On Hawking Radiation as Tunneling with Back-Reaction
• Generalization of the KKW Analysis for Black Hole Radiation
• Semiclassical Corrections to the Bekenstein-Hawking entropy of the BTZ Black Hole via Self-Gravitation
• On the log correction to the black hole area law
• Are Extremal 2D Black Holes Really Frozen ?
• Universal canonical black hole entropy
• Entropy of Schwarzschild black hole and string-black hole correspondence
• New Coordinates for BTZ Black Hole and Hawking Radiation via Tunnelling
• Two-Dimensional Dilatonic Black Holes and Hawking Radiation
• Remarks on Hawking radiation as tunneling from the BTZ black holes
• Thermal Fluctuations and Black Hole Entropy
• A comment on black hole entropy or does Nature abhor a logarithm?
• Self-Gravitational Corrections to the Cardy-Verlinde Formula of Achucarro-Ortiz Black Hole
• Canonical Quantum Statistics of an Isolated Schwarzschild Black Hole with a Spectrum E_n = sigma sqrt{n} E_P
• Self-Gravitational Corrections to the Cardy-Verlinde Formula and the FRW Brane Cosmology in SdS_5 Bulk
• Information Loss in Black Hole Evaporation
• Tunneling between de Sitter and anti de Sitter black holes in a noncommutative D3-brane formalism
• On the Mechanism of Hawking Radiation
• A Simple Line Element to the Dilaton Gravity

Cited by in corpus (68)

• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Modified Friedmann Equations from Tsallis Entropy
• Fermion Tunneling Beyond Semiclassical Approximation
• Thermodynamics of apparent horizon and modified Friedman equations
• Entropic Corrections to Friedmann Equations
• Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method
• Hawking Radiation due to Photon and Gravitino Tunneling
• Corrections to Hawking-like Radiation for a Friedmann-Robertson-Walker Universe
• Hawking Radiation from Kerr-Newman Black Hole and Tunneling Mechanism
• Entropic Corrections to Einstein Equations
• Barrow black hole corrected-entropy model and Tsallis nonextensivity
• Interacting Entropy-Corrected Holographic Dark Energy and IR Cut-Off Length
• Time-Dependent Schrodinger Equation for Black Hole Evaporation: no Information Loss
• Effective temperature, Hawking radiation and quasinormal modes
• Holographic dark energy in Brans-Dicke theory with log correction
• Interacting entropy-corrected new agegraphic dark energy in Brans-Dicke cosmology
• Growth of Perturbations in Tsallis and Barrow Cosmology
• Precise model of Hawking radiation from the tunnelling mechanism
• Black hole quantum spectrum
• Quantum corrections and black hole spectroscopy
• Observational constraints of the modified cosmology through Barrow entropy
• Free particle wavefunction in light of the minimum-length deformed quantum mechanics and some of its phenomenological implications
• Hawking radiation as tunneling from squashed Kaluza-Klein black hole
• Back reaction, emission spectrum and entropy spectroscopy
• Tsallis cosmology and its applications in dark matter physics with focus on IceCube high-energy neutrino data
• Generalized second law of thermodynamics in modified FRW cosmology with corrected entropy-area relation
• Observational constraints on Tsallis modified gravity
• Effective temperature for black holes
• Entropic Corrections to Coulomb's Law
• Quasi-normal modes: the "electrons" of black holes as "gravitational atoms"? Implications for the black hole information puzzle
• Emergence of spacetime dynamics in entropy corrected and braneworld models
• Remarks on self-interaction correction to black hole radiation
• Modified Friedmann Equations From Debye Entropic Gravity
• Noncommutative Geometry Inspired Entropic Inflation
• Discussion on Event Horizon and Quantum Ergosphere of Evaporating Black Holes in a Tunnelling Framework
• Corrections to Unruh effect in tunneling formalism and mapping with Hawking effect
• Thermodynamics of Einstein-Euler-Heisenberg Black Holes with Thermal Fluctuations and Nonlinear Electromagnetic Fields
• Thermodynamical description of interacting entropy-corrected new agegraphic dark energy
• Revisit emission spectrum and entropy quantum of the Reissner-Nordström black hole
• Hawking radiation of Kerr-Newman-de Sitter black hole
• Discrete torsion, de Sitter tunneling vacua and AdS brane: U(1) gauge theory on D4-brane and an effective curvature
• Implications of minimum-length deformed quantum mechanics for QFT/QG
• Quantum Kerr tunneling vacua on a $(D\bar{D}{)}_4$-brane: An emergent Kerr black hole in five dimensions
• Emergent Schwarzschild and Reissner-Nordstrom black holes in 4D: An effective curvature sourced by a B2-field on a D4-brane
• Interacting Ricci Logarithmic Entropy Corrected Holographic Dark Energy in Brans-Dicke Cosmology
• Bouncing universe of entropy-corrected Friedmann equations
• Quantum Kerr(Newman) degenerate stringy vacua in 4D on a non-BPS brane
• Interacting viscous entropy-corrected holographic scalar field models of dark energy with time-varying G in modified FRW cosmology
• Hawking radiation-quasinormal modes correspondence for large AdS black holes
• Investigating the shadows of new regular black holes with a Minkowski core: Effects of spherical accretion and core type differences
• Modeling black hole evaporative mass evolution via radiation from moving mirrors
• Renyi Entropy Correction to Expanding Universe
• Dirac equation of spin particles and tunneling radiation from a Kinnersly black
• Kaniadakis entropy-based characterization of IceCube PeV neutrino signals
• Horava-Lifshitz cosmology, entropic interpretation and quark-hadron phase transition
• Quantum effects in topological and Schwarzschild de Sitter brane: Aspects of torsion on $(\mathbf{D}\bar{\mathbf{D}}{)}_4$-brane universe
• Canonical Ensemble Model for the Black Hole Quantum Tunneling Radiation
• Gravitational wave probes of Barrow cosmology with LISA standard sirens
• Higher Spins Tunneling from a Time Dependent and Spherically Symmetric Black Hole
• Inflation via logarithmic entropy-corrected holographic dark energy model
• Removing the divergence of Chandrasekhar limit caused by generalized uncertainty principle
• Back reaction, covariant anomaly and effective action
• Initiating the effective unification of black hole horizon area and entropy quantization with quasi-normal modes
• Mass generation from a non-perturbative correction: Massive NS-field and graviton in $(3+1)$-dimensions
• Implications of maximum acceleration on dynamics
• Lorentz Invariance Violation and Modified Hawking Fermions Tunneling from Black Strings
• Thermodynamics of Black Holes: Semi-Classical Approaches and Beyond
• Holographic dark energy models with Interactions and entropy corrections for different cutoffs in the Brans-Dicke cosmology