Quantum Tunneling and Back Reaction

Abstract

We give a correction to the tunneling probability by taking into account the back reaction effect to the metric of the black hole spacetime. We then show how this gives rise to the modifications in the semiclassical black hole entropy and Hawking temperature. Finally, we reproduce the familiar logarithmic correction to the Bekenstein-Hawking area law.

LaTex, 6 pages, no figures, minor changes, references added, to appear in Phys. Lett. B

References in corpus (13)

• Hawking Radiation as Tunneling
• Logarithmic correction to the Bekenstein-Hawking entropy
• Self-Interaction Correction to Black Hole Radiance
• Hawking Radiation as Tunneling for Extremal and Rotating Black Holes
• Hawking Radiation and Black Hole Thermodynamics
• Tunnelling, Temperature and Taub-NUT Black Holes
• Hawking radiation in different coordinate settings: Complex paths approach
• Hawking Radiation as Tunneling through the Quantum Horizon
• Universality of Quantum Entropy for Extreme Black Holes
• On Hawking Radiation as Tunneling with Back-Reaction
• An improved estimate of black hole entropy in the quantum geometry approach
• Black Hole Thermodynamics and the Factor of 2 Problem
• Hawking radiation as tunneling for spherically symmetric black holes: A generalized treatment

Cited by in corpus (159)

• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• Quantum Tunneling Beyond Semiclassical Approximation
• Charged Fermions Tunnelling from Kerr-Newman Black Holes
• Noncommutative Black Hole Thermodynamics
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Tunnelling Methods and Hawking's radiation: achievements and prospects
• Space-Time Structure of Loop Quantum Black Hole
• Hawking radiation of Dirac particles via tunnelling from rotating black holes in de Sitter spaces
• Modified Friedmann Equations from Tsallis Entropy
• Black hole quantum tunnelling and black hole entropy correction
• Fermion Tunneling Beyond Semiclassical Approximation
• Hawking black body spectrum from tunneling mechanism
• Quantum Tunneling and Trace Anomaly
• Corrected entropy of BTZ black hole in tunneling approach
• Thermodynamics of apparent horizon and modified Friedman equations
• Entropic Corrections to Friedmann Equations
• Hawking radiation and black hole spectroscopy in Horava-Lifshitz gravity
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• Connecting anomaly and tunneling methods for Hawking effect through chirality
• Comments on anomaly versus WKB/tunneling methods for calculating Unruh radiation
• Black hole thermodynamics with generalized uncertainty principle
• Presence of horizon makes particle motion chaotic
• Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law
• Fermions tunnelling from the charged dilatonic black holes
• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method
• Self-dual Black Holes in LQG: Theory and Phenomenology
• Topics in Noncommutative Geometry Inspired Physics
• Quantum tunneling and black hole spectroscopy
• Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black Holes
• Observing remnants by fermions' tunneling
• Entropy-Corrected Holographic Dark Energy
• Noncommutative Schwarzschild Black Hole and Area Law
• Effects of quantum gravity on black holes
• Remnants, fermions' tunnelling and effects of quantum gravity
• Hamilton-Jacobi Tunneling Method for Dynamical Horizons in Different Coordinate Gauges
• Hawking Radiation from Elko Particles Tunnelling across Black Strings Horizon
• 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
• Reconstructing f(R) modified gravity from ordinary and entropy-corrected versions of the holographic and new agegraphic dark energy models
• Barrow black hole corrected-entropy model and Tsallis nonextensivity
• Phase transition, Quasinormal modes and Hawking radiation of Schwarzschild black hole in Quintessence field
• Hawking radiation as tunneling from a Vaidya black hole in noncommutative gravity
• Interacting entropy-corrected agegraphic-tachyon dark energy
• Interacting Entropy-Corrected Holographic Dark Energy and IR Cut-Off Length
• Entropy Conservation of Linear Dilaton Black Holes in Quantum Corrected Hawking Radiation
• Interacting Ricci Dark Energy with Logarithmic Correction
• Hawking temperature of Kerr-Newman-AdS black hole from tunneling
• Interacting entropy-corrected new agegraphic dark energy in Brans-Dicke cosmology
• Black Hole Entropy with minimal length in Tunneling formalism
• Holographic dark energy in Brans-Dicke theory with log correction
• Cosmic accelerated expansion and the entropy corrected holographic dark energy
• Quantum Gravity Evolution in the Hawking Radiation of a Rotating Regular Hayward Black Hole
• Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
• Growth of Perturbations in Tsallis and Barrow Cosmology
• Reconstructing interacting entropy-corrected holographic scalar field models of dark energy in non-flat universe
• Corrected Entropy of Friedmann-Robertson-Walker Universe in Tunneling Method
• Thermodynamics of apparent horizon in modified FRW universe with power-law corrected entropy
• Thermodynamics of interacting entropy-corrected holographic dark energy in a non-flat FRW universe
• Observational constraints of the modified cosmology through Barrow entropy
• Remarks on remnants by fermions' tunnelling from black strings
• Quantum Tunneling, Blackbody Spectrum and Non-Logarithmic Entropy Correction for Lovelock Black Holes
• Gravitational Analysis of Rotating Charged Black Hole-Like Solution in Einstein-Gauss-Bonnet Gravity
• Back reaction, emission spectrum and entropy spectroscopy
• Hawking radiation as tunneling from squashed Kaluza-Klein black hole
• Tsallis cosmology and its applications in dark matter physics with focus on IceCube high-energy neutrino data
• Hawking-like radiation as tunneling from the apparent horizon in a FRW Universe
• Observational constraints on Tsallis modified gravity
• Generalized second law of thermodynamics in modified FRW cosmology with corrected entropy-area relation
• Entropic Corrections to Coulomb's Law
• Constraints on Tsallis Cosmology from Big Bang Nucleosynthesis and the Relic Abundance of Cold Dark Matter Particles
• Rainbow gravity corrections to the information flux of a black hole and the sparsity of Hawking radiation
• Thermodynamics of Gauss-Bonnet black holes revisited
• The temperature in Hawking radiation as tunneling
• Interacting entropy-corrected new agegraphic dark energy in non-flat universe
• Radiation from the LTB black hole
• Emergence of spacetime dynamics in entropy corrected and braneworld models
• Quantum-corrected two-dimensional Horava-Lifshitz black hole entropy
• Charged particles' tunneling from a noncommutative charged black hole
• Discussion on Event Horizon and Quantum Ergosphere of Evaporating Black Holes in a Tunnelling Framework
• Modified Friedmann Equations From Debye Entropic Gravity
• Noncommutative Geometry Inspired Entropic Inflation
• Anomaly analysis of Hawking radiation from Kaluza-Klein black hole with squashed horizon
• Tunneling across dilaton-axion black holes
• Corrections to Unruh effect in tunneling formalism and mapping with Hawking effect
• Unruh--DeWitt detectors in spherically symmetric dynamical space-times
• New generalized uncertainty principle with parameter adaptability for the minimum length
• Reconstructions of $f(T)$ Gravity from Entropy Corrected Holographic and New Agegraphic Dark Energy Models in Power-law and Logarithmic Versions
• Thermodynamical description of interacting entropy-corrected new agegraphic dark energy
• Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Static Frame
• Tunneling Analysis of Regular Black Holes with Cosmic Strings-Like Solution in Newman-Janis Algorithm
• Interacting entropy-corrected holographic dark energy with apparent horizon as an infrared cutoff
• Hawking evaporation cascade in presence of back reaction effect
• The Effects of Minimal Length, Maximal Momentum and Minimal Momentum in Entropic Force
• Hawking-Like Radiation as Tunneling from a Cosmological Black Hole in Modified Gravity: Semiclassical Approximation and Beyond
• Evaluation of physical properties of Kiselev like AdS spacetime in the context of $f(R,T)$ gravity under the impact of quantum gravity
• Anomalous effective action, Noether current, Virasoro algebra and Horizon entropy
• A note on the Hawking radiation calculated by the quasi-classical tunneling method
• Hawking radiation in a non-covariant frame: the Jacobi metric approach
• Interacting entropy-corrected holographic scalar field models in non-flat universe
• Statefinder diagnostic of logarithmic entropy corrected holographic dark energy with Granda-Oliveros IR cut-off
• Hawking Fluxes, Back reaction and Covariant Anomalies
• Bouncing universe of entropy-corrected Friedmann equations
• Hawking Radiation as tunneling and the unified first law of thermodynamics for a class of dynamical black holes
• Irreversible thermodynamics of dark energy on entropy-corrected apparent horizon
• Quantum effects across dynamical horizons
• Interacting Ricci Logarithmic Entropy Corrected Holographic Dark Energy in Brans-Dicke Cosmology
• Radiation from Einstein-Gauss-Bonnet de Sitter Black Hole via Tunneling Process
• Interacting viscous entropy-corrected holographic scalar field models of dark energy with time-varying G in modified FRW cosmology
• Hawking Radiation from a Vaidya Black Hole: A Semi-Classical Approach and Beyond
• First law of thermodynamics and entropy of FLRW universe in modified gravity
• Reconstructing $f(T)$ modified gravity from ECHDE and ECNADE models
• Stimulated Hawking Emission From Electromagnetic Analogue Black Hole: Theory and Observation
• Black Hole Thermodynamics via Tsallis Statistical Mechanics
• Charged fermions tunneling from stationary axially symmetric black holes with generalized uncertainty principle
• The tunneling radiation of a black hole with a $f(R)$ global monopole under generalized uncertainty principle
• Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Free-fall Frame
• Gravitational Analysis of Einstein-Non-Linear-Maxwell-Yukawa Black Hole under the Effect of Newman-Janis Algorithm
• Power Law Entropy Corrected New-Agegraphic Dark Energy in Hořava-Lifshitz Cosmology
• Entropy-corrected new agegraphic dark energy in Horava-Lifshitz cosmology
• Voros product, noncommutative inspired Reissner-Nordstr{ö}m black hole and corrected area law
• Stress-energy tensor of the quantized massive fields in Schwarzschild-Tangherlini spacetimes. The back reaction
• Planck-scale nonthermal correlations in a noncommutative geometry inspired Vaidya black hole
• Thermodynamic studies of Different Type of Black Holes: General Uncertainty Principle Approach
• Renyi Entropy Correction to Expanding Universe
• Investigating the shadows of new regular black holes with a Minkowski core: Effects of spherical accretion and core type differences
• Lorentz-violating dynamics in the pre-Planckian Universe
• Quantum Tunnelling for Hawking Radiation from Both Static and Dynamic Black Holes
• Thermodynamic Properties of Yukawa-Schwarzschild Black Hole in Non-commutative Gauge Gravity
• Quantum detectors in generic non flat FLRW space-times
• Reflection and Transmission at the Apparent Horizon during Gravitational Collapse
• Black hole remnant in asymptotic Anti-de Sitter space
• Hawking radiation of massive bosons via tunneling from black strings
• Canonical Ensemble Model for the Black Hole Quantum Tunneling Radiation
• Combining The Tunneling And Anomaly Phenomena In Deriving the Gravitational Anomaly
• Higher Spins Tunneling from a Time Dependent and Spherically Symmetric Black Hole
• Gravitational wave probes of Barrow cosmology with LISA standard sirens
• First-order correction of tunneling and entropy in the Horndeski gravity-like hairy black hole
• Information paradox and corrected thermodynamics for black holes
• Thermodynamics of the most generalized form of Holographic Dark Energy and some particular cases with Corrected Entropies
• Inflation via logarithmic entropy-corrected holographic dark energy model
• Tunneling and entropy analysis of parameterized black hole with rotating case
• Dressed Tunneling in Soft Hair
• Initiating the effective unification of black hole horizon area and entropy quantization with quasi-normal modes
• The small and large D limit of Parikh-Wilczek tunneling model for Hawking radiation
• Implications of maximum acceleration on dynamics
• Towards experimentally studying some puzzles of Hawking radiation
• Fermions Tunneling from Higher-Dimensional Reissner-Nordström Black Hole: Semiclassical and Beyond Semiclassical Approximation
• Thoughts on entropic gravity in the Parikh-Wilczek tunneling model of Hawking radiation
• Information conservation in de Sitter tunneling
• The instability of a black hole with $f(R)$ global monopole under extended uncertainty principle
• Field theory aspects of cosmology and black holes
• Scalar particles tunneling radiation in the Demianski-Newman spacetime with influences of quantum gravity
• A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics
• Holographic dark energy models with Interactions and entropy corrections for different cutoffs in the Brans-Dicke cosmology
• On the analogy between black holes and bathtub vortices
• The Accurate Modification of Tunneling Radiation of Fermions with Arbitrary Spin in Kerr-de Sitter Black Hole Space-time