Tunnelling Methods and Hawking's radiation: achievements and prospects
arXiv:1106.4153 · doi:10.1088/0264-9381/28/18/183001
Abstract
The aim of this work is to review the tunnelling method as an alternative description of the quantum radiation from black holes and cosmological horizons. The method is first formulated and discussed for the case of stationary black holes, then a foundation is provided in terms of analytic continuation throughout complex space-time. The two principal implementations of the tunnelling approach, which are the null geodesic method and the Hamilton-Jacobi method, are shown to be equivalent in the stationary case. The Hamilton-Jacobi method is then extended to cover spherically symmetric dynamical black holes, cosmological horizons and naked singularities. Prospects and achievements are discussed in the conclusions.
Topical Review commissioned and accepted for publication by "Classical and Quantum Gravity". 101 pages; 6 figures
References in corpus (213)
- The World as a Hologram
- The Black Hole in Three Dimensional Space Time
- Hawking Radiation as Tunneling
- The Stretched Horizon and Black Hole Complementarity
- Isolated and dynamical horizons and their applications
- General Laws of Black-Hole Dynamics
- Particle production and complex path analysis
- Unified first law of black-hole dynamics and relativistic thermodynamics
- Self-Interaction Correction to Black Hole Radiance
- Gravitational Energy in Spherical Symmetry
- Hawking Radiation as Tunneling for Extremal and Rotating Black Holes
- Hawking Radiation and Black Hole Thermodynamics
- Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
- Fermions Tunnelling from Black Holes
- Tunnelling, Temperature and Taub-NUT Black Holes
- Dynamical Horizons and their Properties
- Black holes with unusual topology
- Quantum Tunneling Beyond Semiclassical Approximation
- Isolated Horizons: Hamiltonian Evolution and the First Law
- Effect of Self-Interaction on Charged Black Hole Radiance
- Twisting of light around rotating black holes
- Hawking radiation as tunneling from the Kerr and Kerr-Newman black holes
- Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
- Hawking temperature in the tunneling picture
- Radiation via Tunneling from a de Sitter Cosmological Horizon
- Pair Production of Topological anti de Sitter Black Holes
- A Primer for Black Hole Quantum Physics
- Hawking radiation in different coordinate settings: Complex paths approach
- Charged Fermions Tunnelling from Kerr-Newman Black Holes
- Hawking Radiation from AdS Black Holes
- Hawking Radiation of Apparent Horizon in a FRW Universe
- Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws
- New Coordinates for de Sitter Space and de Sitter Radiation
- Quantum Tunneling and Back Reaction
- Generic Isolated Horizons and their Applications
- Black Holes as Elementary Particles
- Hawking Radiation as Tunneling through the Quantum Horizon
- The Omega Deformation, Branes, Integrability, and Liouville Theory
- Essential and inessential features of Hawking radiation
- Pair Creation of Black Holes During Inflation
- Local existence of dynamical and trapping horizons
- Corrected Entropy-Area Relation and Modified Friedmann Equations
- Dirty blackholes: Thermodynamics and horizon structure
- Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
- Making Anti-de Sitter Black Holes
- Isolated Horizons: A Generalization of Black Hole Mechanics
- Dirac particles tunneling from BTZ black hole
- Hawking radiation of Dirac particles via tunnelling from rotating black holes in de Sitter spaces
- Method of complex paths and general covariance of Hawking radiation
- Thermodynamics of Apparent Horizon in Brane World Scenario
- Black Hole Evaporation in the Presence of a Short Distance Cutoff
- On the Universality of the Hawking Effect
- On Hawking Radiation as Tunneling with Back-Reaction
- Cosmological production of charged black hole pairs
- Accelerated Detectors and Temperature in (Anti) de Sitter Spaces
- Subtleties in the quasi-classical calculation of Hawking radiation
- Generalization of the KKW Analysis for Black Hole Radiation
- Fermion Tunneling from Dynamical Horizons
- Temperature and entropy of Schwarzschild-de Sitter space-time
- Semiclassical Corrections to the Bekenstein-Hawking entropy of the BTZ Black Hole via Self-Gravitation
- Fermion Tunneling Beyond Semiclassical Approximation
- Production and decay of evolving horizons
- Hawking black body spectrum from tunneling mechanism
- Hawking radiation of charged particles as tunneling from Reissner-Nordstrom-de Sitter black holes with a global monopole
- Thermal radiation of various gravitational backgrounds
- Hawking temperature from tunnelling formalism
- Hawking radiation of Dirac particles via tunneling from Kerr black hole
- Mapping Hawking into Unruh Thermal Properties
- Hidden Messenger Revealed in Hawking Radiation: a Resolution to the Paradox of Black Hole Information Loss
- On the Hawking radiation as tunneling for a class of dynamical black holes
- Hawking radiation without black hole entropy
- Dirac particles' tunnelling from black rings
- A point mass in an isotropic universe. Existence, uniqueness and basic properties
- Tunnelling From Gödel Black Holes
- The first law for slowly evolving horizons
- When is g_{tt} g_{rr} = -1?
- How the Change in Horizon Area Drives Black Hole Evaporation
- On Hawking Radiation as Tunneling with Logarithmic Corrections
- Kodama time: Geometrically preferred foliations of spherically symmetric spacetimes
- Physical Processes in Naked Singularity Formation
- Thermodynamics of Black Holes in Two (and Higher) Dimensions
- Dynamical surface gravity
- The generalized second law of thermodynamics in generalized gravity theories
- Black holes in Godel universes and pp-waves
- Energy Conservation and Hawking Radiation
- Quantum tunneling and black hole spectroscopy
- Energy and entropy conservation for dynamical black holes
- Problems with Tunneling of Thin Shells from Black Holes
- Black Hole Thermodynamics and the Factor of 2 Problem
- Hawking-like radiation does not require a trapped region
- Nut Charged Space-times and Closed Timelike Curves on the Boundary
- Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black Holes
- Radiation via Tunneling in the Charged BTZ Black Hole
- Energy conservation for dynamical black holes
- The region with trapped surfaces in spherical symmetry, its core, and their boundaries
- Accelerating and rotating black holes
- Lifetime of a massive particle in a de Sitter universe
- A point mass in an isotropic universe: III. The region
- Dielectric black hole analogues
- Gravitinos Tunneling from Black Holes
- Spin-Coefficient Form of the New Laws of Black-Hole Dynamics
- Search for neutral Higgs bosons decaying into four taus at LEP2
- A generalized Damour-Navier-Stokes equation applied to trapping horizons
- Hamilton-Jacobi Tunneling Method for Dynamical Horizons in Different Coordinate Gauges
- Hawking Radiation as Tunneling: the D-dimensional rotating case
- Equivalence of Hawking and Unruh Temperatures and Entropies Through Flat Space Embeddings
- Hawking Radiation due to Photon and Gravitino Tunneling
- Exact Hawking Radiation of Scalars, Fermions, and Bosons Using the Tunneling Method Without Back-Reaction
- Corrections to Hawking-like Radiation for a Friedmann-Robertson-Walker Universe
- On the origin of the particles in black hole evaporation
- Triangular invariants, three-point functions and particle stability on the de Sitter universe
- New theoretical approaches to black holes
- Particle decays and stability on the de Sitter universe
- Entropy of Horizons, Complex Paths and Quantum Tunneling
- Entropy is Conserved in Hawking Radiation as Tunneling: a Revisit of the Black Hole Information Loss Paradox
- The Penrose inequality and apparent horizons
- Tunnelling through black rings
- Hawking radiation of black holes in the Horava-Lifshitz gravity
- Charged Nariai Black Holes With a Dilaton
- Quasi-local first law of black-hole dynamics
- Particle decay in de Sitter spacetime via quantum tunneling
- Hawking temperature of Kerr-Newman-AdS black hole from tunneling
- Insights and possible resolution to the information loss paradox via the tunneling picture
- Surface gravity in dynamical spherically symmetric spacetimes
- Hawking radiation as tunneling for spherically symmetric black holes: A generalized treatment
- Tunnelling from black holes and tunnelling into white holes
- Area evolution, bulk viscosity and entropy principles for dynamical horizons
- Quasi-Localisation of Bondi-Sachs Energy Loss
- Hawking radiation as tunneling derived from Black Hole Thermodynamics through the quantum horizon
- On the Thermodynamics of NUT charged spaces
- Tunneling of Dirac particles from accelerating and rotating black holes
- Hawking Radiation as Quantum Tunneling in Rindler Coordinate
- Angular momentum conservation for dynamical black holes
- Fermions Tunneling from Apparent Horizon of FRW Universe
- Corrected Entropy of Friedmann-Robertson-Walker Universe in Tunneling Method
- Hawking radiation from decoherence
- Spherically symmetric trapping horizons, the Misner-Sharp mass and black hole evaporation
- Hawking radiation from the quantum Lemaitre-Tolman-Bondi model
- The Hawking temperature of expanding cosmological black holes
- Tunneling Effect Near Weakly Isolated Horizon
- An Introduction to Black Hole Evaporation
- Quantum corrections and black hole spectroscopy
- Black Hole Thermodynamics and Statistical Mechanics
- The spatial relation between the event horizon and trapping horizon
- Charged fermions tunneling from accelerating and rotating black holes
- A Note on the Lower Bound of Black Hole Area Change in Tunneling Formalism
- Tunneling through the quantum horizon
- Quantum Tunneling, Blackbody Spectrum and Non-Logarithmic Entropy Correction for Lovelock Black Holes
- Tunneling Mechanism in Kerr-Newman Black Hole and Dimensional Reduction near the Horizon
- The slicing dependence of non-spherically symmetric quasi-local horizons in Vaidya Spacetimes
- Radiation generated by accelerating and rotating charged black holes in (anti-)de Sitter space
- Optimizing the greenfield Beta-beam
- Hawking radiation as tunneling from squashed Kaluza-Klein black hole
- Back reaction, emission spectrum and entropy spectroscopy
- Naked singularities and quantum gravity
- Hawking-like radiation as tunneling from the apparent horizon in a FRW Universe
- A WKB-like approach to Unruh Radiation
- Band-aid for information loss from black holes
- Observer Dependent Horizon Temperatures: a Coordinate-Free Formulation of Hawking Radiation as Tunneling
- The temperature in Hawking radiation as tunneling
- The Stokes Phenomenon and Quantum Tunneling for de Sitter Radiation in Nonstationary Coordinates
- Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect
- Hawking temperature and higher order calculations
- Formation and Evaporation of a Naked Singularity in 2D Gravity
- Quantum gravitational correction to the Hawking temperature from the Lemaitre-Tolman-Bondi model
- Thermodynamics of Schwarzschild-(Anti-)de Sitter Black Holes with account of quantum corrections
- Quantum general relativity and Hawking radiation
- Discussion on Event Horizon and Quantum Ergosphere of Evaporating Black Holes in a Tunnelling Framework
- On the Thermodynamics of Goedel Black Holes
- Radiation from the extremal black holes
- Particle energy and Hawking temperature
- Non-perturbative contributions to the plane-wave string mass matrix
- Properties of Black Hole Radiation From Tunnelling
- Quantum corrections to the entropy of charged rotating black holes
- Lectures on supergravity
- Hawking Radiation of Charged Particles as Tunneling from Higher Dimensional Reissner-Nordstrom-de Sitter Black Holes
- On de Sitter radiation via quantum tunneling
- Semiclassical Methods for Hawking Radiation from a Vaidya Black Hole
- Black Hole entropy for two higher derivative theories of gravity
- Applications of the Tunneling Method to Particle Decay and Radiation from Naked Singularities
- Hawking radiation as tunneling and the unified first law of thermodynamics at the apparent horizon in the FRW universe
- Physical aspects of naked singularity explosion - How does a naked singularity explode? --
- Factor Two Discrepancy of Hawking Radiation Temperature
- Decay of the cosmological constant by Hawking radiation as quantum tunneling
- Hawking Radiation as tunneling and the unified first law of thermodynamics for a class of dynamical black holes
- Gravitational Tunneling Radiation
- Penrose Diagram for a Transient Black Hole
- On the Particle Definition in the presence of Black Holes
- On tunneling across horizons
- The black hole tunnel phenomenon
- The extremal limit of D-dimensional black holes
- Tunneling across dilaton coupled black holes in anti de Sitter spacetime
- Thermodynamics of Constant Curvature Black Holes Through Semi-Classical Tunneling
- Reply to Comments on "Invariance of the tunneling method for dynamical black holes" arXiv:0907.2020
- Invariance of the Tunneling Method for Dynamical Black Holes
- Geodesics in the Generalized Schwarzschild Solution
- Some results on dynamical black holes
- Particle Creation by Naked Singularities in Higher Dimensions
- Resource Letter BH-2: Black Holes
- On Tunnelling Through the Black Hole Horizon
- Non-thermal aspects of black hole radiance
- Invariance of the Hamilton-Jacobi tunneling method for black holes and FRW model
- Self-Screening Hawking Atmosphere in the Presence of a Bulk Viscosity
- Tunneling into black hole, escape from black hole, reflection from horizon and pair creation
- Quantum Behaviors on an Excreting Black Hole
- Thermodynamics Inducing Massive Particles' Tunneling and Cosmic Censorship
- Second comment to "Invariance of the tunneling method"
- Nonthermal radiation of rotating black holes
- Consequences of Gravitational Tunneling Radiation
- Causal Structures of Dynamic Black Holes
- Comment on "On the tunneling through the black hole horizon" [arXiv:0910.3934]
- Unruh-DeWitt detector and the interpretation of the horizon temperature in spherically symmetric dynamical space-times
- On Quantum Radiation in Curved Spacetime
Cited by in corpus (157)
- Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A
- Black Hole Thermodynamics
- Hawking Radiation and Deflection of Light from Rindler Modified Schwarzschild Black Hole
- GUP Modified Hawking Radiation in Bumblebee Gravity
- Einstein gravity with Gauss-Bonnet entropic corrections
- Quantum Tunneling of Massive Spin-1 Particles From Non-stationary Metrics
- Area-law versus Rényi and Tsallis black hole entropies
- Massive Vector Particles Tunneling From Noncommutative Charged Black Holes and its GUP-corrected Thermodynamics
- GUP Assisted Hawking Radiation of Rotating Acoustic Black Holes
- Tunneling of Vector Particles from Lorentzian Wormholes in 3+1 Dimensions
- GUP Hawking fermions from MGD black holes
- Physics of the Inverted Harmonic Oscillator: From the lowest Landau level to event horizons
- Foliation dependence of black hole apparent horizons in spherical symmetry
- Fading Hawking Radiation
- Gravitinos Tunneling From Traversable Lorentzian Wormholes
- The Effect of GUP to Massive Vector and Scalar Particles Tunneling From a Warped DGP Gravity Black Hole
- Quasinormal Modes and Hawking-Unruh effect in Quantum Hall Systems: Lessons from Black Hole Phenomena
- Hawking Radiation of Spin-1 Particles From Three Dimensional Rotating Hairy Black Hole
- Uninformed Hawking Radiation
- The Effect of the Gauss-Bonnet term to Hawking Radiation from arbitrary dimensional Black Brane
- Non-polynomial Lagrangian approach to Regular Black Holes
- Nonlinear Langevin dynamics via holography
- Quantum Gravity: A Brief History of Ideas and Some Prospects
- Black hole radiation of massive spin-2 particles in (3+1) dimensions
- Gravitational Lensing Effect on the Hawking Radiation of Dyonic Black Holes
- How does non-metricity affect particle creation and evaporation in bumblebee gravity?
- Soft Hair of Dynamical Black Hole and Hawking Radiation
- Quantum Gravitational Corrections to Particle Creation by Black Holes
- Near horizon thermodynamics of hairy black holes from gravitational decoupling
- Searching for dynamical black holes in various theories of gravity
- Tunneling of Massive Vector Particles From Rotating Charged Black Strings
- Hawking Radiation of Massive Vector Particles From Warped AdS Black Hole
- Particle creation and evaporation in Kalb-Ramond gravity
- Conformally rescaled spacetimes and Hawking radiation
- Macroscopic quantum tunneling: from quantum vortices to black holes and Universe
- An analogue of Hawking radiation in the quantum Hall effect
- Hawking radiation of scalar and vector particles from 5D Myers-Perry black holes
- Effect of the Refractive Index on the Hawking Temperature: An Application of the Hamilton-Jacobi Method
- GUP modified Hawking Radiation and Transmission/Reflection Coefficients of Rotating Polytropic Black Hole
- Temperature and thermodynamic structure of Einstein's equations for a cosmological black hole
- Non-equilibrium thermodynamics of gravitational screens
- Quantum tunneling from rotating black holes with scalar hair in three dimensions
- Thermodynamics of Sultana-Dyer Black Hole
- Bekenstein bound from the Pauli principle
- Thermodynamics of multi-horizon spacetimes
- Hawking Radiation of Mass Generating Particles From Dyonic Reissner Nordström Black Hole
- Tunneling of Massive/Massless Bosons From the Apparent Horizon of FRW Universe
- Unruh--DeWitt detectors in spherically symmetric dynamical space-times
- GUP black hole remnants in quadratic gravity
- Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Static Frame
- Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity
- Particle production induced by a Lorentzian non-commutative spacetime
- A Non-Commutative Kalb-Ramond Black Hole
- Hidden conformal symmetry for the accelerating Kerr black holes
- Towards experimentally testing the paradox of black hole information loss
- Nonlinear Einstein-Power-Yang-Mills AdS Black Holes: From Quantum Tunneling to Aschenbach Effect
- Hawking temperature and the bound on greybody factors in double field theory
- Hawking-Like Radiation as Tunneling from a Cosmological Black Hole in Modified Gravity: Semiclassical Approximation and Beyond
- Varying Newton constant and black hole to white hole quantum tunneling
- Eruptive Massive Vector Particles of 5-Dimensional Kerr-Gödel Spacetime
- Quantum tunneling from scalar fields in rotating black strings
- Tunneling method for Hawking quanta in analogue gravity
- Model metrics for quantum black hole evolution: Gravitational collapse, singularity resolution, and transient horizons
- Paradoxes before the paradox: surface gravity and the information loss problem
- Hawking radiation from dynamical horizons
- Particle production from marginally trapped surfaces of general spacetimes
- Black holes as spherically-symmetric horizon-bound objects
- Entanglement Degradation in Causal Diamonds
- Non-commutativity in Hayward spacetime
- Particle creation rate for dynamical black holes
- Remarks on a nonlinear electromagnetic extension in AdS Reissner-Nordström spacetime
- Information-carrying Hawking radiation and the number of microstate for a black hole
- Evaporation of four-dimensional dynamical black holes sourced by the quantum trace anomaly
- Hawking Radiation in Lorentz Violating Gravity: A Tale of Two Horizons
- Hawking radiation in a non-covariant frame: the Jacobi metric approach
- Gravitational Quasinormal Modes of Regular Phantom Black Hole
- Universality of tunnelling particles in Hawking radiation
- Tunnelling mechanism in non-commutative space with generalized uncertainty principle and Bohr-like black hole
- From black hole to white hole via the intermediate static state
- New Geometric Transition as Origin of Particle Production in Time-Dependent Backgrounds
- Quantum effects across dynamical horizons
- Hawking radiation of Dirac monopoles from the global monopole black hole with quantum gravity effects
- Dark Spinors Hawking Radiation in String Theory Black Holes
- Tunnelling of Charged Particles from Black Holes
- The Holar Wind
- Generalized Painleve-Gullstrand descriptions of Kerr-Newman black holes
- symmetry-protected exceptional cones and analogue Hawking radiation
- Thermality of the Rindler horizon: A simple derivation from the structure of the inertial propagator
- Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Free-fall Frame
- Dirac Particles Tunneling from Black Holes with Topological Defects
- The Bekenstein-Hawking Corpuscular Cascading from the Backreacted Black Hole
- Hawking emission of charged particles from an electrically charged spherical black hole with scalar hair
- Gravitational Tunneling in Lorentz Violating Gravity
- On a WKB formula for echoes
- Tunnelling black-hole radiation with self-interaction: one-loop computation for Rindler Killing horizons
- Quantum detectors in generic non flat FLRW space-times
- Catastrophic fate of Schwarzschild black holes in a thermal bath
- Consistent derivation of the Hawking effect for both non-extremal and extremal Kerr black holes
- An exact model for evaporating primordial black holes in cosmological space-time
- Logarithmic entropy of black hole in gravity with conformal anomaly from quantum tunneling approach
- Hawking radiation and total entropy change as tunneling
- Regularizing tunnelling calculations of Hawking temperature
- Surface gravity from tidal acceleration
- Hawking radiation from a five-dimensional Lovelock black hole
- Higher Spins Tunneling from a Time Dependent and Spherically Symmetric Black Hole
- Correlation, entropy, and information transfer in black hole radiation
- Inflation of small true vacuum bubble by quantization of Einstein-Hilbert action
- Near-extremal black holes
- Quantum ergosphere and brick wall entropy
- Exotic Spinorial Structure and Black Holes in General Relativity
- On the Resilience of Black Hole Evaporation: Gravitational Tunneling through Universal Horizons
- Hawking effect in an extremal Kerr black hole spacetime
- Charged fermion tunnelling from electrically and magnetically charged rotating black hole in de Sitter space
- Complex Effective Path: A Semi-Classical Probe of Quantum Effects
- New form of the Kerr-Newman solution
- The information loss problem and Hawking radiation as tunneling
- Ray tracing in FLRW flat space-times
- Radiative properties of a nonsingular black hole: Hawking radiation and gray-body factor
- Evolving black hole horizons in General Relativity and alternative gravity
- Unruh thermal hadronization and the cosmological constant
- Quantum corrected non-thermal radiation spectrum from the tunnelling mechanism
- Horizon Tunneling Revisited: The Case of Higher Dimensional Black Holes
- Hawking Radiation and Tunneling Mechanism for a New Class of Black Holes in Einstein-Gauss-Bonnet Gravity
- Hawking radiation of scalar particles and fermions from squashed Kaluza-Klein black holes based on a generalized uncertainty principle
- Dressed Tunneling in Soft Hair
- Thermal behavior of a radially deformed black hole spacetime
- Quantum tunneling driven by quintessence and the role of GUP
- Tunneling method for Hawking radiation in the Nariai case
- Imprints of non-commutativity on charged black holes
- The CR Volume for Black Holes and the Corresponding Entropy Variation: A Review
- Hadronization correspondence of Hawking-Unruh radiation from rotating and electrically charged black holes
- Hawking Radiation in the Spacetime of White Holes
- Hawking radiation, quantum fields, and tunneling
- On Some Information-geometric aspects of Hawking radiation
- Vacuum fluctuation of conformally coupled scalar field in FLRW space-times
- Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects
- Estimation of temperature of cosmological apparent horizons: a new approach
- Cosmological LTB Black Hole in a Quintom Universe
- Comment on "Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity"
- Spin effects on particle creation and evaporation in gravity
- Thermodynamics of analogue black holes in a non-Hermitian tight-binding model
- Studies on Thin-shells and Thin-shell Wormholes
- Hawking Radiation of Topological Massive Warped-AdS3 Black Hole Families
- On the Hamilton-Jacobi method in classical and quantum nonconservative systems
- Particle production, absorption, scattering, and geodesics in a Schwarzschild-Hernquist black hole
- Apparent horizon as a membrane
- Quantum fields in gravity
- Correction to Hawking radiation in non-singular gravitational collapse
- Thermodynamics of spacetime from minimal area
- Looping back to the past through free fall in a controlled warp drive spacetime
- On the effect of scalar fields on Hawking radiation and quasinormal modes of black holes
- The non-Kerr black hole with acceleration
- Black holes and their horizons in semiclassical and modified theories of gravity
- Tunnelling phenomenon near an apparent horizon in two-dimensional dilaton gravity
- Hawking radiation of Dirac particles from soft-hairy black holes
- Alternative Derivations of Hawking Radiation
- Late-time expansion in the semiclassical theory of the Hawking radiation