Quantum geometry and the Schwarzschild singularity

Abstract

In homogeneous cosmologies, quantum geometry effects lead to a resolution of the classical singularity without having to invoke special boundary conditions at the singularity or introduce ad-hoc elements such as unphysical matter. The same effects are shown to lead to a resolution of the Schwarzschild singularity. The resulting quantum extension of space-time is likely to have significant implications to the black hole evaporation process. Similarities and differences with the situation in quantum geometrodynamics are pointed out.

31 pages, 1 figure

References in corpus (10)

• Black hole evaporation: A paradigm
• Spherically Symmetric Quantum Geometry: States and Basic Operators
• Quantum resolution of black hole singularities
• Nonsingular Black Holes and Degrees of Freedom in Quantum Gravity
• Absence of pre-classical solutions in Bianchi I loop quantum cosmology
• Semiclassical quantisation of space-times with apparent horizons
• The Volume Operator in Spherically Symmetric Quantum Geometry
• Pre-classical solutions of the vacuum Bianchi I loop quantum cosmology
• The disinformation problem for black holes (conference version)
• The Kantowski-Sachs Space-Time in Loop Quantum Gravity

Cited by in corpus (262)

• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Loop Quantum Cosmology
• A new spinfoam vertex for quantum gravity
• Fundamental Physics with the Square Kilometre Array
• Inflationary cosmology in modified gravity theories
• Loop quantum cosmology of k=1 FRW models
• Black hole evaporation: A paradigm
• Quantum Transfiguration of Kruskal Black Holes
• Fundamental Structure of Loop Quantum Gravity
• Quantum Extension of the Kruskal Space-time
• Loop Quantum Dynamics of the Schwarzschild Interior
• Fate of gravitational collapse in semiclassical gravity
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• Space-Time Structure of Loop Quantum Black Hole
• Phenomenological aspects of black holes beyond general relativity
• Loop quantum cosmology and the k = - 1 RW model
• Black holes in loop quantum gravity: the complete space-time
• Fractal Structure of Loop Quantum Gravity
• Loop quantization of the Schwarzschild interior revisited
• Avoidance of future singularities in loop quantum cosmology
• From black holes to white holes: a quantum gravitational, symmetric bounce
• Gravity and the Quantum
• Spherically Symmetric Quantum Geometry: Hamiltonian Constraint
• Classical collapse to black holes and quantum bounces: A review
• Tests of Loop Quantum Gravity from the Event Horizon Telescope Results of Sgr A${}^{\ast }$
• A model for non-singular black hole collapse and evaporation
• Effective loop quantum gravity framework for vacuum spherically symmetric space-times
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Information is Not Lost in the Evaporation of 2-dimensional Black Holes
• Effective line elements and black-hole models in canonical (loop) quantum gravity
• Resolving Spacetime Singularities within Asymptotic Safety
• Conservative solutions to the black hole information problem
• Effective Quantum Extended Spacetime of Polymer Schwarzschild Black Hole
• Loop quantum cosmology and inhomogeneities
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Loop quantization of spherically symmetric midi-superspaces
• Self-dual Black Holes in LQG: Theory and Phenomenology
• Shadow and stability of quantum-corrected black holes
• A consistent model of non-singular Schwarzschild black hole in loop quantum gravity and its quasinormal modes
• Spherically symmetric loop quantum gravity: analysis of improved dynamics
• Black hole interior from loop quantum gravity
• Future singularities and Teleparallelism in Loop Quantum Cosmology
• Loop quantum gravity: the first twenty five years
• Towards an S-matrix Description of Gravitational Collapse
• Singularity Resolution in Loop Quantum Cosmology: A Brief Overview
• Critical evaluation of common claims in loop quantum cosmology
• Quantum gravity predictions for black hole interior geometry
• Spinning Loop Black Holes
• Black hole collapse and bounce in effective loop quantum gravity
• Cosmic recall and the scattering picture of Loop Quantum Cosmology
• Consistent Loop Quantum Cosmology
• Black Hole evaporation: A Perspective from Loop Quantum Gravity
• Linearized dynamics from the 4-simplex Regge action
• On the fate of quantum black holes
• Inflationary universe in loop quantum cosmology
• Mass and Horizon Dirac Observables in Effective Models of Quantum Black-to-White Hole Transition
• Properties of a recent quantum extension of the Kruskal geometry
• Classical and quantum LTB model for the non-marginal case
• From the Einstein-Cartan to the Ashtekar-Barbero canonical constraints, passing through the Nieh-Yan functional
• Phenomenological dynamics of loop quantum cosmology in Kantowski-Sachs spacetime
• Where does the physics of extreme gravitational collapse reside?
• Towards a Non-singular Paradigm of Black Hole Physics
• Evidence for Maximal Acceleration and Singularity Resolution in Covariant Loop Quantum Gravity
• Hawking radiation by spherically-symmetric static black holes for all spins: I -- Teukolsky equations and potentials
• On effective loop quantum geometry of Schwarzschild interior
• Kantowski-Sachs spacetime in loop quantum cosmology: bounds on expansion and shear scalars and the viability of quantization
• Non-singular black holes and the Limiting Curvature Mechanism: A Hamiltonian perspective
• Loop quantum Schwarzschild interior and black hole remnant
• Emergence of product of constant curvature spaces in loop quantum cosmology
• Perspectives on the dynamics in a loop quantum gravity effective description of black hole interiors
• Towards a formal description of the collapse approach to the inflationary origin of the seeds of cosmic structure
• Warm inflationary model in loop quantum cosmology
• Investigating Loop Quantum Gravity with EHT Observational Effects of Rotating Black holes
• Geodesic completeness and the lack of strong singularities in effective loop quantum Kantowski-Sachs spacetime
• Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity
• Constructing a counterexample to the black hole complementarity
• The End of a Black Hole's Evaporation -- Part I
• Effective Polymer Dynamics of D-Dimensional Black Hole Interiors
• Quantization of Midisuperspace Models
• The Evolution of $\Lambda$ Black Holes in the Mini-Superspace Approximation of Loop Quantum Gravity
• Asymptotic non-flatness of an effective black hole model based on loop quantum gravity
• Properties of the spherically symmetric polymer black holes
• Complete, Single-Horizon Quantum Corrected Black Hole Spacetime
• Numerical loop quantum cosmology: an overview
• Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity
• Observational predictions of LQG motivated polymerized black holes and constraints from Sgr A* and M87*
• Mass Inflation in the Loop Black Hole
• Gravitational perturbations of non-singular black holes in conformal gravity
• Sifting quantum black holes through the principle of least action
• Loop quantum deparametrized Schwarzschild interior and discrete black hole mass
• Quantum evolution of black hole initial data sets: Foundations
• Wave functions for the Schwarschild black hole interior
• Spherically symmetric sector of self dual Ashtekar gravity coupled to matter: Anomaly-free algebra of constraints with holonomy corrections
• Quantum gravity and the Coulomb potential
• Dynamical Surface Gravity in Spherically Symmetric Black Hole Formation
• Improved Effective Dynamics of Loop-Quantum-Gravity Black Hole and Nariai Limit
• Polymer quantization, singularity resolution and the 1/r^2 potential
• The spatial relation between the event horizon and trapping horizon
• Signature change in 2-dimensional black-hole models of loop quantum gravity
• Loop Quantum Gravity
• Bouncing compact objects. Part II: Effective theory of a pulsating Planck star
• Can an astrophysical black hole have a topologically non-trivial event horizon?
• Spherical symmetric gravitational collapse of a dust cloud: polymerized dynamics in reduced phase space
• Information loss, made worse by quantum gravity?
• Perturbative Degrees of Freedom in Loop Quantum Gravity: Anisotropies
• Constraints on self-dual black hole in loop quantum gravity with S0-2 star in the Galactic Center
• Loop quantum black hole
• Scalar Perturbations of a Single-Horizon Regular Black Hole
• Von-Neumann Stability and Singularity Resolution in Loop Quantized Schwarzschild Black Hole
• Loop Quantum Cosmology: A brief review
• Non-singular quantum gravitational dynamics of an LTB dust shell model: the role of quantization prescriptions
• How Information Crosses Schwarzschild's Central Singularity
• Anomaly-free deformations of spherical general relativity coupled to matter
• Degenerate Configurations, Singularities and the Non-Abelian Nature of Loop Quantum Gravity
• Obstruction of black hole singularity by quantum field theory effects
• Gravitational collapse in loop quantum gravity
• Symmetries of the Black Hole Interior and Singularity Regularization
• Quantum field theory and its symmetry reduction
• Asymptotically de Sitter Universe inside a Schwarzschild black hole
• Point-Particle Effective Field Theory I: Classical Renormalization and the Inverse-Square Potential
• Stability of the Schwarzschild Interior in Loop Quantum Gravity
• Covariance in self dual inhomogeneous models of effective quantum geometry: Spherical symmetry and Gowdy systems
• Quantum dynamics of the black hole interior in LQC
• Relativistic collapse dynamics and black hole information loss
• Deformed algebra and the effective dynamics of the interior of black holes
• Path integral polymer propagator of relativistic and non-relativistic particles
• Exploring non-singular black holes in gravitational perturbations
• Effective four-dimensional loop quantum black hole with a cosmological constant
• Effective dynamics of the hybrid quantization of the Gowdy T^3 universe
• Spacetime topology change and black hole information
• Brief review on black hole loop quantization
• Spherically Symmetric Black Hole Formation in Painlevé-Gullstrand Coordinates
• The singularity in mimetic Kantowski-Sachs cosmology
• Black Holes: Information Loss But No Paradox
• Probing Quadratic Gravity with the Event Horizon Telescope
• Numerical Techniques in Loop Quantum Cosmology
• Hamiltonian formulation and loop quantization of a recent extension of the Kruskal spacetime
• The Lensing Effect of Quantum-Corrected Black Hole and Parameter Constraints from EHT Observations
• Numerical solutions to lattice-refined models in loop quantum cosmology
• Reduced Phase Space Quantization of Black Holes: Path Integrals, and Effective Dynamics
• Raychaudhuri equation with zero point length
• Dynamics and entanglement in spherically symmetric quantum gravity
• Effective GUP-modified Raychaudhuri equation and black hole singularity: four models
• Quantum gravity lights up spinning black holes
• Quantum Hamiltonian for gravitational collapse
• Shadows and optical appearance of quantum-corrected black holes illuminated by static thin accretions
• Instabilities in numerical loop quantum cosmology
• Periodic orbits and gravitational waveforms in quantum-corrected black hole spacetimes
• Effective dynamics of the Schwarzschild black hole interior with inverse triad corrections
• Holonomy and inverse-triad corrections in spherical models coupled to matter
• Higher-dimensional quantum Oppenheimer-Snyder model
• Dynamical evaporation of quantum horizons
• Loop Quantum Gravity motivated multihorizon rotating black holes
• Observational tests of quantum extension of Schwarzschild spacetime in loop quantum gravity with stars in the galactic center
• Effects of primordial black holes quantum gravity decay on galaxy clustering
• Black holes and holography
• The Raychaudhuri equation for a quantized timelike geodesic congruence
• Polymer quantization of the Einstein-Rosen wormhole throat
• Understanding quantum black holes from quantum reduced loop gravity
• On Spinfoams Near a Classical Curvature Singularity
• Revisiting quantum black holes from effective loop quantum gravity
• Highly Damped Quasinormal Modes and the Small Scale Structure of Quantum Corrected Black Hole Exteriors
• Effective Field Theory of Loop Quantum Cosmology
• The sounds of science: a symphony for many instruments and voices
• Evaporation and information puzzle for 2D nonsingular asymptotically flat black holes
• Loop quantum cosmology and singularities
• The volume operator for spin networks with planar or cylindrical symmetry
• Constraints from Solar System tests on a covariant loop quantum black hole
• Exploring alternatives to the Hamiltonian calculation of the Ashtekar-Olmedo-Singh black hole solution
• Probing a polymerized black hole with the frequency shifts of photons
• Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology
• Quantum Corrected Polymer Black Hole Thermodynamics: Mass Relations and Logarithmic Entropy Correction
• Finite Action Principle and Horava-Lifshitz Gravity: early universe, black holes and wormholes
• Black hole interior quantization: a minimal uncertainty approach
• Two-time alternative to the Ashtekar-Olmedo-Singh black hole interior
• Stability of self-dual black holes
• Quantum Geometry and its Implications for Black Holes
• Loop quantization of spherically symmetric midisuperspaces and loop quantum geometry of the maximally extended Schwarzschild spacetime
• Lorentzian wormhole in the framework of loop quantum cosmology
• Singularity avoidance and time in quantum gravity
• Geodetic precession and shadow of quantum extended black holes
• Nonexistence of quantum black and white hole horizons in an improved dynamic approach
• A note on the observational evidence for the existence of event horizons in astrophysical black hole candidates
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Quantum geometry and effective dynamics of Janis-Newman-Winicour singularities
• A generalized uncertainty-inspired quantum black hole
• Quantum dynamics of the Einstein-Rosen wormhole throat
• Space of solutions of the Ashtekar-Olmedo-Singh effective black hole model
• Loop effective model for Schwarzschild black hole interior: a modified $\bar{\mu }$ dynamics
• On consistent gauge fixing conditions in polymerized gravitational systems
• Open problems in mathematical physics
• Solar system constraints of a polymer black hole in loop quantum gravity
• Axial perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology
• A (not so?) novel explanation for the very special initial state of the universe
• Quasinormal modes of a charged loop quantum black hole
• Decoding quantum gravity information with black hole accretion disk
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• Noncommutativity and the Weak Cosmic Censorship
• Probing loop quantum effects through solar system experiments: observational signatures and parameter constraints
• Influence of Quantum Correction on Kerr Black Hole in Effective Loop Quantum Gravity via Shadows and EHT Results
• Spinorial Wheeler-DeWitt wave functions inside black hole horizons
• Loop Quantum Corrected Einstein Yang-Mills Black Holes
• Group quantization of the black hole minisuperspace
• Symmetric black-to-white hole solutions with a cosmological constant
• Gravitational waves for eccentric extreme mass ratio inspirals of self-dual spacetime
• Universe scenarios from loop quantum cosmology
• Quantum vacuum effects on the formation of black holes
• Polar perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology
• Constraining Parameters of Generalized Cosmic Chaplygin Gas in Loop Quantum Cosmology
• Quantum space and quantum completeness
• Quantum geometry and black holes
• Loop Quantum Cosmology: Physics of Singularity Resolution and its Implications
• On the improved dynamics approach in loop quantum black holes
• Towards self dual Loop Quantum Gravity
• Singularity Avoidance of Charged Black Holes in Loop Quantum Gravity
• Black holes without boundaries
• Effective null Raychaudhuri equation
• On the black hole singularity issue in loop quantum gravity
• Circular orbits and accretion disk around a deformed-Schwarzschild black hole in loop quantum gravity
• Semiclassical resolution of the black hole singularity inspired in the minimal uncertainty approach
• Loop quantum cosmology from an alternative Hamiltonian. II. Including the Lorentzian term
• Generic features of a polymer quantum black hole
• Space-time extensions II
• Testing general covariance in effective models motivated by Loop Quantum Gravity
• Gravastar in the framework of Loop Quantum Cosmology
• Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant
• A new quantization scheme of black holes in effective loop quantum gravity
• Alternative $k=-1$ loop quantum cosmology
• Covariant effective spacetimes of spherically symmetric electrovacuum with a cosmological constant
• Overdamped quasibound states inside a Schwarzschild black hole
• Schrödinger-like quantum dynamics in loop quantized black holes
• Quantum Space-times: Beyond the Continuum of Minkowski and Einstein
• Microscopic State of BHs and an Exact One Body Method for Binary Dynamics in General Relativity
• Loop Quantum Vector-Tensor Gravity and Its Spherically Symmetric Model
• Some singular spacetimes and their possible alternatives
• Particle Deflections around Microscopic Loop Quantum Black Holes with Rigorous Quantum Parameters
• Dynamically implementing the $\overline{\mu }$-scheme in cosmological and spherically symmetric models in an extended phase space model
• Way down in the hole... and up again
• In, Through and Beyond the Planck Scale
• Big-Bounce in Quantum f(R)-Cosmology: Polymer Dynamics with Internal Time
• Image of a quantum-corrected black hole without Cauchy horizons illuminated by a static thin accretion disk
• Matters of Gravity, the newsletter of the Topical Group in Gravitation of APS
• Quantum Dyanmics of Loop Quantum Gravity
• If the spin of gravitational field depends on spacetime dimension
• Quantum Effective Dynamics of Papapetrou Spacetime
• Expansion-sensitive coupling of a local quantum system in de Sitter cosmology
• Directional Quantum Singularities in Curzon Spacetime
• Effective dynamics of Janis-Newman-Winicour spacetime
• Higher-dimensional quantum-corrected Oppenheimer-Snyder model with a cosmological constant
• Dynamical Horizons and Black Hole Soft Hair
• Hawking radiation by spherically-symmetric static black holes for all spins: II -- Numerical emission rates, analytical limits and new constraints
• Extended geometry of Gambini-Olmedo-Pullin polymer black hole and its quasinormal spectrum
• Does loop quantum ${\mu }_o$ scheme permit a black hole formation?
• Black-hole models in loop quantum gravity
• Probing the interior of the Schwarzschild black hole using congruences: LQG vs. GUP
• Generalised coherent states and combinatorics of horizon entropy
• Modified Newtonian dynamics as a prediction of general relativity
• A cyclic universe with colour fields
• Resolution of Curvature Singularities in Higher Derivative Gravity
• Loop Quantum Cosmology on a Torus
• Black holes and Rindler superspace: classical singularity and quantum unitarity
• Singularity avoidance from path integral