Loop Quantum Dynamics of the Schwarzschild Interior

Abstract

We examine the Schwarzschild interior of a black hole, incorporating quantum gravitational modifications due to loop quantum gravity. We consider an improved loop quantization using techniques that have proven successful in loop quantum cosmology. The central Schwarzschild singularity is resolved and the implications for the fate of an in-falling test particle in the interior region is discussed. The singularity is replaced by a Nariai type Universe. We discuss the resulting conformal diagram, providing a clear geometrical interpretation of the quantum effects.

Update to match version accepted for publication in PRD

References in corpus (16)

• Background Independent Quantum Gravity: A Status Report
• Quantum Nature of the Big Bang: Improved dynamics
• Absence of Singularity in Loop Quantum Cosmology
• Loop Quantum Cosmology
• Information Loss in Black Holes
• Quantum geometry and the Schwarzschild singularity
• Loop quantum cosmology of k=1 FRW models
• Loop quantum cosmology and the k = - 1 RW model
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Loop quantization of spherically symmetric midi-superspaces
• Loop Quantum Cosmology in Bianchi Type I Models: Analytical Investigation
• The behavior of non-linear anisotropies in bouncing Bianchi I models of loop quantum cosmology
• Charged Nariai Black Holes With a Dilaton
• Wave functions for the Schwarschild black hole interior
• Impulsive waves in the Nariai universe
• Instabilities in numerical loop quantum cosmology

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• Quantum Transfiguration of Kruskal Black Holes
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• Space-Time Structure of Loop Quantum Black Hole
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• Loop quantization of the Schwarzschild interior revisited
• From black holes to white holes: a quantum gravitational, symmetric bounce
• Is loop quantization in cosmology unique?
• Tests of Loop Quantum Gravity from the Event Horizon Telescope Results of Sgr A${}^{\ast }$
• Quantum black holes in Loop Quantum Gravity
• Effective loop quantum gravity framework for vacuum spherically symmetric space-times
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Effective Quantum Extended Spacetime of Polymer Schwarzschild Black Hole
• Self-dual Black Holes in LQG: Theory and Phenomenology
• A consistent model of non-singular Schwarzschild black hole in loop quantum gravity and its quasinormal modes
• An effective model for the quantum Schwarzschild black hole
• Spherically symmetric loop quantum gravity: analysis of improved dynamics
• Black hole interior from loop quantum gravity
• Quantum gravity predictions for black hole interior geometry
• Spinning Loop Black Holes
• Black hole collapse and bounce in effective loop quantum gravity
• Quantum gravity of dust collapse: shock waves from black holes
• (b,v)-type variables for black to white hole transitions in effective loop quantum gravity
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Charged de Sitter-like black holes: quintessence-dependent enthalpy and new extreme solutions
• On the fate of quantum black holes
• Mass and Horizon Dirac Observables in Effective Models of Quantum Black-to-White Hole Transition
• Testing loop quantum cosmology
• Phenomenological dynamics of loop quantum cosmology in Kantowski-Sachs spacetime
• 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
• Hawking radiation by spherically-symmetric static black holes for all spins: I -- Teukolsky equations and potentials
• Loop quantum Schwarzschild interior and black hole remnant
• Non-singular black holes and the Limiting Curvature Mechanism: A Hamiltonian perspective
• 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
• 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
• Quasinormal modes and gray-body factors of regular black holes in asymptotically safe gravity
• Quantization of Midisuperspace Models
• The Evolution of $\Lambda$ Black Holes in the Mini-Superspace Approximation of Loop Quantum Gravity
• Effective Polymer Dynamics of D-Dimensional Black Hole Interiors
• Complete, Single-Horizon Quantum Corrected Black Hole Spacetime
• Properties of the spherically symmetric polymer black holes
• Numerical loop quantum cosmology: an overview
• Mass Inflation in the Loop Black Hole
• Observational predictions of LQG motivated polymerized black holes and constraints from Sgr A* and M87*
• Singularities in loop quantum cosmology
• Quantum evolution of black hole initial data sets: Foundations
• Loop quantum deparametrized Schwarzschild interior and discrete black hole mass
• Improved Effective Dynamics of Loop-Quantum-Gravity Black Hole and Nariai Limit
• Dynamical Surface Gravity in Spherically Symmetric Black Hole Formation
• Spherically symmetric sector of self dual Ashtekar gravity coupled to matter: Anomaly-free algebra of constraints with holonomy corrections
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• Polymer quantization, singularity resolution and the 1/r^2 potential
• Bouncing compact objects. Part II: Effective theory of a pulsating Planck star
• Spherical symmetric gravitational collapse of a dust cloud: polymerized dynamics in reduced phase space
• Loop quantum black hole
• Von-Neumann Stability and Singularity Resolution in Loop Quantized Schwarzschild Black Hole
• Scalar Perturbations of a Single-Horizon Regular Black Hole
• Gravitational lensing effect of black holes in effective quantum gravity
• Non-singular quantum gravitational dynamics of an LTB dust shell model: the role of quantization prescriptions
• Loop quantum black hole extensions within the improved dynamics
• Symmetries of the Black Hole Interior and Singularity Regularization
• Causal Structure of a recent Loop Quantum Gravity Black Hole Collapse Model
• Asymptotically de Sitter Universe inside a Schwarzschild black hole
• Covariance in self dual inhomogeneous models of effective quantum geometry: Spherical symmetry and Gowdy systems
• Kantowski-Sachs Universes sourced by a Skyrme fluid
• Stability of the Schwarzschild Interior in Loop Quantum Gravity
• Status of Birkhoff's theorem in polymerized semiclassical regime of Loop Quantum Gravity
• Quantum dynamics of the black hole interior in LQC
• Deformed algebra and the effective dynamics of the interior of black holes
• Gravitational lens effect of a holonomy corrected Schwarzschild black hole
• Effective four-dimensional loop quantum black hole with a cosmological constant
• Fermions in Loop Quantum Cosmology and the Role of Parity
• Spherically Symmetric Black Hole Formation in Painlevé-Gullstrand Coordinates
• Perfect fluid spheres with cosmological constant
• Brief review on black hole loop quantization
• Regular Black Hole Interior Spacetime Supported by Three-Form Field
• Effective Quantum Dust Collapse via Surface Matching
• The regular black hole in four dimensional Born-Infeld gravity
• Polymeric Quantization and Black Hole Thermodynamics
• Numerical Techniques in Loop Quantum Cosmology
• Implications of quantum ambiguities in k=1 loop quantum cosmology: distinct quantum turnarounds and the super-Planckian regime
• Hamiltonian formulation and loop quantization of a recent extension of the Kruskal spacetime
• Reduced Phase Space Quantization of Black Holes: Path Integrals, and Effective Dynamics
• Polymer quantization and the saddle point approximation of partition functions
• Effective GUP-modified Raychaudhuri equation and black hole singularity: four models
• Unimodular Loop Quantum Cosmology
• Some global, analytical and topological properties of regular black holes
• Rainbow Oppenheimer-Snyder collapse and the entanglement entropy production
• Observational tests of quantum extension of Schwarzschild spacetime in loop quantum gravity with stars in the galactic center
• Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
• Loop Quantum Gravity motivated multihorizon rotating black holes
• Callan-Giddings-Harvey-Strominger vacuum in loop quantum gravity and singularity resolution
• Polymer quantization of the Einstein-Rosen wormhole throat
• Revisiting quantum black holes from effective loop quantum gravity
• Understanding quantum black holes from quantum reduced loop gravity
• Exploring alternatives to the Hamiltonian calculation of the Ashtekar-Olmedo-Singh black hole solution
• Highly Damped Quasinormal Modes and the Small Scale Structure of Quantum Corrected Black Hole Exteriors
• Constraints from Solar System tests on a covariant loop quantum black hole
• Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology
• Stability of self-dual black holes
• Two-time alternative to the Ashtekar-Olmedo-Singh black hole interior
• Black hole interior quantization: a minimal uncertainty approach
• Probing a polymerized black hole with the frequency shifts of photons
• Quantum Corrected Polymer Black Hole Thermodynamics: Mass Relations and Logarithmic Entropy Correction
• Some physical implications of regularization ambiguities in SU(2) gauge-invariant loop quantum cosmology
• Classical polymerization of the Schwarzschild metric
• Loop quantization of spherically symmetric midisuperspaces and loop quantum geometry of the maximally extended Schwarzschild spacetime
• Nonexistence of quantum black and white hole horizons in an improved dynamic approach
• Geodetic precession and shadow of quantum extended black holes
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• On consistent gauge fixing conditions in polymerized gravitational systems
• Loop effective model for Schwarzschild black hole interior: a modified $\bar{\mu }$ dynamics
• A generalized uncertainty-inspired quantum black hole
• Quantum dynamics of the Einstein-Rosen wormhole throat
• Quantum geometry and effective dynamics of Janis-Newman-Winicour singularities
• Space of solutions of the Ashtekar-Olmedo-Singh effective black hole model
• Shadows and parameter estimation of rotating quantum corrected black holes and constraints from EHT observation of M87* and Sgr A*
• Solar system constraints of a polymer black hole in loop quantum gravity
• Axial perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology
• An Effective Model for the Quantum Schwarzschild Black Hole: Weak Deflection Angle, Quasinormal Modes and Bounding of Greybody Factor
• On the Possible Spacetime Structures of Rotating Loop Quantum Black Holes
• Influence of Quantum Correction on Kerr Black Hole in Effective Loop Quantum Gravity via Shadows and EHT Results
• Quantum shells in a quantum space-time
• Emergent gravity: the BEC paradigm
• Quasinormal modes of a charged loop quantum black hole
• Decoding quantum gravity information with black hole accretion disk
• Probing loop quantum effects through solar system experiments: observational signatures and parameter constraints
• Entropic corrected Newton's law of gravitation and the Loop Quantum Black Hole gravitational atom
• Loop Quantum Corrected Einstein Yang-Mills Black Holes
• Gravitational waves for eccentric extreme mass ratio inspirals of self-dual spacetime
• Symmetric black-to-white hole solutions with a cosmological constant
• Anisotropic Structures and Wormholes with Loop Quantum Gravity Holonomy Corrections
• Group quantization of the black hole minisuperspace
• Polar perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology
• Loop Quantum Cosmology: Physics of Singularity Resolution and its Implications
• On the improved dynamics approach in loop quantum black holes
• Formation of nonsingular spherical black holes with holonomy corrections
• On the black hole singularity issue in loop quantum gravity
• A new quantization scheme of black holes in effective loop quantum gravity
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• Testing general covariance in effective models motivated by Loop Quantum Gravity
• Generic features of a polymer quantum black hole
• Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant
• Schrödinger-like quantum dynamics in loop quantized black holes
• Quantum Space-times: Beyond the Continuum of Minkowski and Einstein
• Strong Gravitational Lensing by Compact Object without Cauchy Horizons in Effective Quantum Gravity
• Constraints on the Scale Parameter of Regular Black Hole in Asymptotically Safe Gravity from Extreme Mass Ratio Inspirals
• Dynamically implementing the $\overline{\mu }$-scheme in cosmological and spherically symmetric models in an extended phase space model
• Quantum Black Hole as a Harmonic Oscillator from the Perspective of the Minimum Uncertainty Approach
• Some singular spacetimes and their possible alternatives
• Dynamical model for black hole to white hole transitions
• Basis Function Method for Numerical Loop Quantum Cosmology: The Schwarzschild Black Hole Interior
• Hawking radiation by spherically-symmetric static black holes for all spins: II -- Numerical emission rates, analytical limits and new constraints
• Hidden Symmetries in Gravity : Black holes and other minisuperspaces
• Effective dynamics of Janis-Newman-Winicour spacetime
• Probing the interior of the Schwarzschild black hole using congruences: LQG vs. GUP
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