Phenomenological loop quantum geometry of the Schwarzschild black hole

Abstract

The interior of a Schwarzschild black hole is investigated at the level of phenomenological dynamics with the discreteness corrections of loop quantum geometry implemented in two different improved quantization schemes. In one scheme, the classical black hole singularity is resolved by the quantum bounce, which bridges the black hole interior with a white hole interior. In the other scheme, the classical singularity is resolved and the event horizon is also diffused by the quantum bounce. Jumping over the quantum bounce, the black hole gives birth to a baby black hole with a much smaller mass. This lineage continues as each classical black hole brings forth its own descendant in the consecutive classical cycle, giving the whole extended spacetime fractal structure, until the solution eventually descends into deep Planck regime, signaling a breakdown of the semiclassical description. The issues of scaling symmetry and no-hair theorem are also discussed.

26 pages, 6 figures, 1 table; version to appear in PRD

References in corpus (23)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Loop Quantum Cosmology
• Quantum geometry and the Schwarzschild singularity
• Loop quantum cosmology of k=1 FRW models
• Black hole evaporation: A paradigm
• Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
• Loop quantum black hole
• Loop Quantum Dynamics of the Schwarzschild Interior
• Loop quantum cosmology and the k = - 1 RW model
• Spherically Symmetric Quantum Geometry: States and Basic Operators
• Information is Not Lost in the Evaporation of 2-dimensional Black Holes
• Large scale effective theory for cosmological bounces
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Semi-classical States, Effective Dynamics and Classical Emergence in Loop Quantum Cosmology
• 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
• Effective Dynamics, Big Bounces and Scaling Symmetry in Bianchi Type I Loop Quantum Cosmology
• Phenomenological dynamics of loop quantum cosmology in Kantowski-Sachs spacetime
• Wave functions for the Schwarschild black hole interior
• Effective Dynamics for the Cosmological Bounces in Bianchi Type I Loop Quantum Cosmology

Cited by in corpus (89)

• Quantum Transfiguration of Kruskal Black Holes
• Quantum Extension of the Kruskal Space-time
• Space-Time Structure of Loop Quantum Black Hole
• Loop quantization of the Schwarzschild interior revisited
• From black holes to white holes: a quantum gravitational, symmetric bounce
• Effective loop quantum gravity framework for vacuum spherically symmetric space-times
• 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
• Spinning Loop Black Holes
• Black hole collapse and bounce in effective loop quantum gravity
• (b,v)-type variables for black to white hole transitions in effective loop quantum gravity
• Black Hole evaporation: A Perspective from Loop Quantum Gravity
• On the fate of quantum black holes
• 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
• 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
• Loop quantum Schwarzschild interior and black hole remnant
• Perspectives on the dynamics in a loop quantum gravity effective description of black hole interiors
• Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity
• The Evolution of $\Lambda$ Black Holes in the Mini-Superspace Approximation of Loop Quantum Gravity
• Quantization of Midisuperspace Models
• Properties of the spherically symmetric polymer black holes
• Mass Inflation in the Loop Black Hole
• Quantum evolution of black hole initial data sets: Foundations
• Loop quantum deparametrized Schwarzschild interior and discrete black hole mass
• Loop Quantum Gravity
• Loop quantum black hole
• Gravitational lensing effect of black holes in effective quantum gravity
• How Information Crosses Schwarzschild's Central Singularity
• Symmetries of the Black Hole Interior and Singularity Regularization
• Asymptotically de Sitter Universe inside a Schwarzschild black hole
• Quantum dynamics of the black hole interior in LQC
• Status of Birkhoff's theorem in polymerized semiclassical regime of Loop Quantum Gravity
• Unsettling physics in the quantum-corrected Schwarzschild black hole
• 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
• Numerical Techniques in Loop Quantum Cosmology
• 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
• Quasi-Normal Modes of Loop Quantum Black Holes Formed from Gravitational Collapse
• How loopy is the quantum bounce? A heuristic analysis of higher order holonomy corrections in LQC
• Unimodular Loop Quantum Cosmology
• Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
• Spinning Particle Dynamics and ISCO in Covariant Loop Quantum Gravity
• 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
• Constraints from Solar System tests on a covariant loop quantum black hole
• Probing a polymerized black hole with the frequency shifts of photons
• Stability of self-dual black holes
• Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology
• Black hole interior quantization: a minimal uncertainty approach
• Quantum Corrected Polymer Black Hole Thermodynamics: Mass Relations and Logarithmic Entropy Correction
• Two-time alternative to the Ashtekar-Olmedo-Singh black hole interior
• Loop quantization of spherically symmetric midisuperspaces and loop quantum geometry of the maximally extended Schwarzschild spacetime
• Geodetic precession and shadow of quantum extended black holes
• Nonexistence of quantum black and white hole horizons in an improved dynamic approach
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• A generalized uncertainty-inspired quantum black hole
• Quantum geometry and effective dynamics of Janis-Newman-Winicour singularities
• Space of solutions of the Ashtekar-Olmedo-Singh effective black hole model
• Axial perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology
• Probing loop quantum effects through solar system experiments: observational signatures and parameter constraints
• Decoding quantum gravity information with black hole accretion disk
• Quasinormal modes of a charged loop quantum black hole
• 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
• Polar perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology
• Quantum geometry and black holes
• Semiclassical resolution of the black hole singularity inspired in the minimal uncertainty approach
• Circular orbits and accretion disk around a deformed-Schwarzschild black hole in loop quantum gravity
• The fate of a Quantum-Corrected Collapsing Star in General Relativity
• A new quantization scheme of black holes in effective loop quantum gravity
• 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 Black Hole as a Harmonic Oscillator from the Perspective of the Minimum Uncertainty Approach
• Strong Gravitational Lensing by Compact Object without Cauchy Horizons in Effective Quantum Gravity
• Some singular spacetimes and their possible alternatives
• Effective equations of motion for constrained quantum systems: A study of the Bianchi I loop quantum cosmology
• Extended geometry of Gambini-Olmedo-Pullin polymer black hole and its quasinormal spectrum
• Effective dynamics of Janis-Newman-Winicour spacetime
• Probing the interior of the Schwarzschild black hole using congruences: LQG vs. GUP