Consistent Loop Quantum Cosmology

Abstract

A consistent combination of quantum geometry effects rules out a large class of models of loop quantum cosmology and their critical densities as they have been used in the recent literature. In particular, the critical density at which an isotropic universe filled with a free, massless scalar field would bounce must be well below the Planck density. In the presence of anisotropy, no model of the Schwarzschild black hole interior analyzed so far is consistent.

13 pages

References in corpus (44)

• Background Independent Quantum Gravity: A Status Report
• Discreteness of area and volume in quantum gravity
• Quantum Nature of the Big Bang: Improved dynamics
• Real Ashtekar Variables for Lorentzian Signature Space-times
• Quantum Spin Dynamics (QSD)
• Black hole entropy in Loop Quantum Gravity
• Quantum geometry and the Schwarzschild singularity
• Black hole entropy from Quantum Geometry
• QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories
• Real and complex connections for canonical gravity
• Loop quantum black hole
• Isotropic Loop Quantum Cosmology
• The physical hamiltonian in nonperturbative quantum gravity
• The Inverse Scale Factor in Isotropic Quantum Geometry
• Effective Equations of Motion for Quantum Systems
• Algebraic Quantum Gravity (AQG) I. Conceptual Setup
• Anomaly freedom in perturbative loop quantum gravity
• Quantization Ambiguities in Isotropic Quantum Geometry
• Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
• Loop quantum gravity corrections to gravitational wave dispersion
• Cosmology without inflation
• Loop quantum cosmology and inhomogeneities
• Large scale effective theory for cosmological bounces
• Simplification of the Spectral Analysis of the Volume Operator in Loop Quantum Gravity
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Spectral Analysis of the Volume Operator in Loop Quantum Gravity
• Loop Quantum Cosmology: Recent Progress
• Dynamical coherent states and physical solutions of quantum cosmological bounces
• Stepping out of Homogeneity in Loop Quantum Cosmology
• Quantum nature of cosmological bounces
• Gravitational waves from the Big Bounce
• Effective Constraints for Quantum Systems
• The gravitational wave background from super-inflation in Loop Quantum Cosmology
• How quantum is the big bang?
• Properties of the Volume Operator in Loop Quantum Gravity I: Results
• Lattice Refining Loop Quantum Cosmology and Inflation
• Effective equations for isotropic quantum cosmology including matter
• Effective constraints of loop quantum gravity
• Harmonic cosmology: How much can we know about a universe before the big bang?
• The Dark Side of a Patchwork Universe
• Lattice Refining LQC and the Matter Hamiltonian
• Properties of the Volume Operator in Loop Quantum Gravity II: Detailed Presentation
• Unboundedness of Triad -- Like Operators in Loop Quantum Gravity
• Dirac Fields in Loop Quantum Gravity and Big Bang Nucleosynthesis

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• Bouncing Loop Quantum Cosmology from $F(T)$ gravity
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• Singular Inflationary Universe from $F(R)$ Gravity
• Non-marginal LTB-like models with inverse triad corrections from loop quantum gravity
• Anomaly-free cosmological perturbations in effective canonical quantum gravity
• The bounce universe history from unimodular $F(R)$ gravity
• Generalized uncertainty principles and localization in discrete space
• Bounce universe from string-inspired Gauss-Bonnet gravity
• A quantitative analysis of singular inflation with scalar-tensor and modified gravity
• Viability of the matter bounce scenario in Loop Quantum Cosmology for general potentials
• Cosmological bouncing solutions in extended teleparallel gravity theories
• On $R+\alpha R^2$ Loop Quantum Cosmology
• Cosmological singularity resolution from quantum gravity: the emergent-bouncing universe
• Inflationary observables in loop quantum cosmology
• Turning Big Bang into Big Bounce: I. Classical Dynamics
• Non-polynomial Lagrangian approach to Regular Black Holes
• The Observational Implications of Loop Quantum Cosmology
• Quasi-matter domination parameters in bouncing cosmologies
• Matter Bounce Scenario in Extended Symmetric Teleparallel Gravity
• On the propagation across the big bounce in an open quantum FLRW cosmology
• $\Lambda$CDM Bounce Cosmology without $\Lambda$CDM: the case of modified gravity
• Bounce Loop Quantum Cosmology Corrected Gauss-Bonnet Gravity
• Effective relational cosmological dynamics from Quantum Gravity
• An Overview on the Nature of the Bounce in LQC and PQM
• Deformed Matter Bounce with Dark Energy Epoch
• Energy Scale of the Big Bounce
• The perturbed universe in the deformed algebra approach of Loop Quantum Cosmology
• Cosmological perturbations in teleparallel Loop Quantum Cosmology
• The emergence of Special and Doubly Special Relativity
• Bouncing cosmology in extended gravity and its reconstruction as dark energy model
• Evolution of Primordial Black Holes in Loop Quantum Gravity
• Future singularity avoidance in phantom dark energy models
• Loop Quantum Cosmology Matter Bounce Reconstruction from $F(R)$ Gravity Using an Auxiliary Field
• Shortcomings of the Big Bounce derivation in Loop Quantum Cosmology
• Quantum reduced loop gravity effective Hamiltonians from a statistical regularization scheme
• Unimodular $f(G)$ gravity
• A critical analysis of the cosmological implementation of Loop Quantum Gravity
• Polymer dynamics of isotropic universe in Ashtekar and in volume variables
• Extended Loop Quantum Gravity
• New Cases of Universality Theorem for Gravitational Theories
• Semiclassical and quantum features of the Bianchi I cosmology in the polymer representation
• An Inhomogeneous Space-Time Patching Model Based on a Nonlocal and Nonlinear Schrodinger Equation
• Viable Inflationary Evolution from Loop Quantum Cosmology Scalar-Tensor Theory
• Running of the Spectral index in Deformed Matter Bounce Scenarios with Hubble-rate-dependent Dark Energy
• Loop Quantum Cosmology Scalar Field Models
• Quantum gravity in the very early universe
• Primordial Cosmology of an Emergent-like Universe from Modified Gravity: Reconstruction and Phenomenology Optimization with a Genetic Algorithm
• Quasi-matter Bounce Cosmology in Light of Planck
• Non-standard loop quantum cosmology