Non-singular quantum gravitational dynamics of an LTB dust shell model: the role of quantization prescriptions

Abstract

We study some consequences of the loop quantization of the outermost dust shell in the Lemaître-Tolman-Bondi spacetime with a homogeneous dust density using different quantization strategies motivated by loop quantum gravity. Prior work has dealt with loop quantizing this model by employing holonomies and the triads, following the procedure in standard loop quantum cosmology. In this work we compare this quantization with the one in which holonomies and gauge-covariant fluxes are used. While both of the quantization schemes resolve the central singularity, they lead to different mass gaps at which a trapped surface forms. This trapped surface which is matched to an exterior generalized Vaidya spacetime disappears when the density of the dust shell is in the Planck regime. We find that the quantization based on holonomies and gauge-covariant fluxes generically results in an asymmetric evolution of the dust shell in which the effective mass associated with the white hole as seen by an external observer is $2/\pi$ of the one for the black hole. This effective difference in masses results from difference in the classical limits in pre- and post-bounce regimes in the two quantizations. This distinctive feature rules out formation of any black hole-white hole twin in presence of gauge-covariant flux modifications which is in contrast to the quantization using holonomies and triads where the gravitational collapse always leads to a black hole-white hole twins. In another striking difference, for the quantization based on holonomies and gauge-covariant fluxes there can be situations in which during a non-singular collapse only a black hole forms without a white hole.

arXiv comment20 pages and 5 figures

References in corpus (60)

• Background Independent Quantum Gravity: A Status Report
• Loop Quantum Cosmology: A Status Report
• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• Real Ashtekar Variables for Lorentzian Signature Space-times
• Loop Quantum Gravity
• Gravitational Energy in Spherical Symmetry
• Robustness of key features of loop quantum cosmology
• Dust as a Standard of Space and Time in Canonical Quantum Gravity
• Introduction to Modern Canonical Quantum General Relativity
• Quantum geometry and the Schwarzschild singularity
• Real and complex connections for canonical gravity
• Quantum Transfiguration of Kruskal Black Holes
• Loop quantum black hole
• Quantum Extension of the Kruskal Space-time
• Loop Quantum Dynamics of the Schwarzschild Interior
• Generalized Vaidya Solutions
• Loop quantization of the Schwarzschild black hole
• Are loop quantum cosmos never singular?
• Black holes in loop quantum gravity: the complete space-time
• Loop quantization of the Schwarzschild interior revisited
• Non-singular quantum-inspired gravitational collapse
• From black holes to white holes: a quantum gravitational, symmetric bounce
• Spherically Symmetric Quantum Geometry: Hamiltonian Constraint
• Is loop quantization in cosmology unique?
• Quantum evaporation of a naked singularity
• A black hole mass threshold from non-singular quantum gravitational collapse
• Quantum black holes in Loop Quantum Gravity
• Effective loop quantum gravity framework for vacuum spherically symmetric space-times
• Effective Quantum Extended Spacetime of Polymer Schwarzschild Black Hole
• Numerical simulations of a loop quantum cosmos: robustness of the quantum bounce and the validity of effective dynamics
• Quantum Spin Dynamics (QSD) : VII. Symplectic Structures and Continuum Lattice Formulations of Gauge Field Theories
• Initial data and the end state of spherically symmetric gravitational collapse
• Spherically symmetric loop quantum gravity: analysis of improved dynamics
• Curvature invariants, geodesics and the strength of singularities in Bianchi-I loop quantum cosmology
• Exotic singularities and spatially curved Loop Quantum Cosmology
• Non-marginal LTB-like models with inverse triad corrections from loop quantum gravity
• Loop quantization of spherically symmetric midi-superspaces : the interior problem
• Black hole collapse and bounce in effective loop quantum gravity
• Numerical evolution of squeezed and non-Gaussian states in loop quantum cosmology
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Singularity avoidance for collapsing quantum dust in the Lemaitre-Tolman-Bondi model
• Numerical simulations of loop quantum Bianchi-I spacetimes
• Geodesic completeness and the lack of strong singularities in effective loop quantum Kantowski-Sachs spacetime
• Bouncing compact objects I: Quantum extension of the Oppenheimer-Snyder collapse
• Properties of the spherically symmetric polymer black holes
• Critical collapse of a scalar field in semiclassical loop quantum gravity
• Resolution of strong singularities and geodesic completeness in loop quantum Bianchi-II spacetimes
• Generic absence of strong singularities in loop quantum Bianchi-IX spacetimes
• Improved Effective Dynamics of Loop-Quantum-Gravity Black Hole and Nariai Limit
• Bouncing compact objects. Part II: Effective theory of a pulsating Planck star
• Semiclassical dynamics of horizons in spherically symmetric collapse
• Glimpses of Space-Time Beyond the Singularities Using Supercomputers
• Quantum scalar field in quantum gravity: the vacuum in the spherically symmetric case
• Generic absence of strong singularities and geodesic completeness in modified loop quantum cosmologies
• LTB spacetimes in terms of Dirac observables
• New Loop Quantum Cosmology Modifications from Gauge-covariant Fluxes
• Some physical implications of regularization ambiguities in SU(2) gauge-invariant loop quantum cosmology
• Loop quantization of spherically symmetric midisuperspaces and loop quantum geometry of the maximally extended Schwarzschild spacetime
• Gauge-invariant bounce from loop quantum gravity

Cited by in corpus (21)

• Quantum Oppenheimer-Snyder and Swiss Cheese models
• Shadow and stability of quantum-corrected black holes
• Quantum gravity of dust collapse: shock waves from black holes
• On the fate of quantum black holes
• Dust collapse in asymptotic safety: a path to regular black holes
• On the geometry of the black-to-white hole transition within a single asymptotic region
• Black hole image encoding quantum gravity information
• Spherical symmetric gravitational collapse of a dust cloud: polymerized dynamics in reduced phase space
• Gravitational collapse in effective loop quantum gravity: beyond marginally bound configurations
• Shell-crossings and shock formation during gravitational collapse in effective loop quantum gravity
• Revisiting quantum black holes from effective loop quantum gravity
• Understanding quantum black holes from quantum reduced loop gravity
• On consistent gauge fixing conditions in polymerized gravitational systems
• Quantum gravity might restrict a cyclic evolution
• Influence of Quantum Correction on Kerr Black Hole in Effective Loop Quantum Gravity via Shadows and EHT Results
• Circular orbits and accretion disk around a deformed-Schwarzschild black hole in loop quantum gravity
• Formation of nonsingular spherical black holes with holonomy corrections
• Infrared signatures of quantum bounce in a minisuperspace analysis of Lema\^ıtre-Tolman-Bondi dust collapse
• Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant
• Radiative properties of a nonsingular black hole: Hawking radiation and gray-body factor
• A loop quantization of the marginally bound Lemaître-Tolman-Bondi dust model