Covariance in models of loop quantum gravity: Gowdy systems

Abstract

Recent results in the construction of anomaly-free models of loop quantum gravity have shown obstacles when local physical degrees of freedom are present. Here, a set of no-go properties is derived in polarized Gowdy models, raising the question whether these systems can be covariant beyond a background treatment. As a side product, it is shown that normal deformations in classical polarized Gowdy models can be Abelianized.

20 pages

References in corpus (11)

• Quantum cosmology: a review
• Spherically Symmetric Quantum Geometry: States and Basic Operators
• Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations
• Covariance in models of loop quantum gravity: Spherical symmetry
• Inhomogeneous Loop Quantum Cosmology: Hybrid Quantization of the Gowdy Model
• Anomaly-free cosmological perturbations in effective canonical quantum gravity
• Cosmological perturbations in Hybrid Loop Quantum Cosmology: Mukhanov-Sasaki variables
• Matter in inhomogeneous loop quantum cosmology: the Gowdy $T^3$ model
• Information loss, made worse by quantum gravity?
• Loop quantization of the Gowdy model with local rotational symmetry
• Loop Quantization of Polarized Gowdy Model on $T^3$: Classical Theory

Cited by in corpus (44)

• Effective line elements and black-hole models in canonical (loop) quantum gravity
• Covariance in models of loop quantum gravity: Spherical symmetry
• Switching internal times and a new perspective on the 'wave function of the universe'
• Critical evaluation of common claims in loop quantum cosmology
• Hypersurface-deformation algebroids and effective space-time models
• Non-singular black holes and the Limiting Curvature Mechanism: A Hamiltonian perspective
• Hybrid Loop Quantum Cosmology: An Overview
• Spherically symmetric sector of self dual Ashtekar gravity coupled to matter: Anomaly-free algebra of constraints with holonomy corrections
• Signature change in 2-dimensional black-hole models of loop quantum gravity
• The Thiemann Complexifier and the CVH algebra for Classical and Quantum FLRW Cosmology
• Signature change in loop quantum gravity: General midisuperspace models and dilaton gravity
• Linking loop quantum gravity quantization ambiguities with phenomenology
• Protected $SL(2,\mathbb{R})$ Symmetry in Quantum Cosmology
• Non-covariance of the dressed-metric approach in loop quantum cosmology
• Covariance in self dual inhomogeneous models of effective quantum geometry: Spherical symmetry and Gowdy systems
• Brief review on black hole loop quantization
• The BKL scenario, infrared renormalization, and quantum cosmology
• Loop quantization of the Gowdy model with local rotational symmetry
• Periodic orbits and gravitational waveforms in quantum-corrected black hole spacetimes
• Canonical description of cosmological backreaction
• Anomaly free cosmological perturbations with generalised holonomy correction in loop quantum cosmology
• Rainbow-like Black Hole metric from Loop Quantum Gravity
• Effective Field Theory of Loop Quantum Cosmology
• Polymer dynamics of isotropic universe in Ashtekar and in volume variables
• Emergent modified gravity coupled to scalar matter
• Lorentzian wormhole in the framework of loop quantum cosmology
• Emergent Modified Gravity
• Geometry from Brackets Consistency
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Non-bouncing solutions in loop quantum cosmology
• Deformed covariance in spherically symmetric vacuum models of loop quantum gravity: Consistency in Euclidean and self-dual gravity
• Equivalence of models in loop quantum cosmology and group field theory
• Extending general covariance: Moyal-type noncommutative manifolds
• Quantum Higgs Inflation
• Inequivalence of mimetic gravity with models of loop quantum gravity
• Minisuperspace models of discrete systems
• Space-time physics in background-independent theories of quantum gravity
• Axisymmetric gravity in real Ashtekar variables: the quantum theory
• Cosmological perturbations with inverse-volume corrections in loop quantum cosmology
• Emergent modified gravity: Polarized Gowdy model on a torus
• Schrödinger-like quantum dynamics in loop quantized black holes
• The general scalar-tensor Hamiltonian with deformed covariance
• Lessons for loop quantum gravity from emergent modified gravity
• Minisuperspace results for causal dynamical triangulations