Loop Quantum Cosmology: A brief review
arXiv:1612.01236
Abstract
In the last decade, progress on quantization of homogeneous cosmological spacetimes using techniques of loop quantum gravity has led to insights on various fundamental questions and has opened new avenues to explore Planck scale physics. These include the problem of singularities and their possible generic resolution, constructing viable non-singular models of the very early universe, and bridging quantum gravity with cosmological observations. These results, which emerge from an interplay of sophisticated analytical and numerical techniques, has also led to valuable hints on loop quantization of black hole and inhomogeneous spacetimes. In this review, we provide a summary of this progress while focusing on concrete examples of the quantization procedure and phenomenology of cosmological perturbations.
47 pages, 3 figures. To appear as a chapter contribution for a volume edited by A. Ashtekar and J. Pullin, to be published in the World Scientific series "100 Years of General Relativity."
References in corpus (114)
- Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Loop Quantum Cosmology: A Status Report
- Quantum Nature of the Big Bang: Improved dynamics
- Quantum Nature of the Big Bang
- Absence of Singularity in Loop Quantum Cosmology
- Black hole entropy in Loop Quantum Gravity
- Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
- Inflationary spacetimes are not past-complete
- Quantum geometry and the Schwarzschild singularity
- QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories
- Loop quantum cosmology of k=1 FRW models
- Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
- Density Perturbations in the Ekpyrotic Scenario
- The pre-inflationary dynamics of loop quantum cosmology: Confronting quantum gravity with observations
- Bouncing Braneworlds
- A Quantum Gravity Extension of the Inflationary Scenario
- Non-Singular Bouncing Universes in Loop Quantum Cosmology
- Anomaly-free scalar perturbations with holonomy corrections in loop quantum cosmology
- An Extension of the Quantum Theory of Cosmological Perturbations to the Planck Era
- The Measure Problem in Cosmology
- Polymer Quantum Mechanics and its Continuum Limit
- Representations of the Weyl Algebra in Quantum Geometry
- Loop quantum cosmology of Bianchi type IX models
- Cosmology from Group Field Theory Formalism for Quantum Gravity
- Homogeneous Loop Quantum Cosmology
- Numerical Approaches to Spacetime Singularities
- Loop quantum cosmology and the k = - 1 RW model
- Non-gaussianities and the Stimulated creation of quanta in the inflationary universe
- Probability of Inflation in Loop Quantum Cosmology
- Avoidance of future singularities in loop quantum cosmology
- Introduction to Loop Quantum Cosmology
- Anti-deSitter universe dynamics in LQC
- Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
- Loop quantum gravity corrections to gravitational wave dispersion
- Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations
- Loop quantum cosmology and slow roll inflation
- Hybrid quantization of an inflationary universe
- A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology
- The Matter Bounce Curvaton Scenario
- Covariant Effective Action for Loop Quantum Cosmology a la Palatini
- Loop Quantization of Vacuum Bianchi I Cosmology
- Loop quantum cosmology: From pre-inflationary dynamics to observations
- Quantum bounce and cosmic recall
- Detailed analysis of the predictions of loop quantum cosmology for the primordial power spectra
- Loop Quantum Cosmology in Bianchi Type I Models: Analytical Investigation
- Further Improvements in the Understanding of Isotropic Loop Quantum Cosmology
- Inflationary Theory and Alternative Cosmology
- Inflation in loop quantum cosmology: Dynamics and spectrum of gravitational waves
- Exotic singularities and spatially curved Loop Quantum Cosmology
- Why are the effective equations of loop quantum cosmology so accurate?
- Quantum-Reduced Loop Gravity: Cosmology
- The LQC evolution operator of FRW universe with positive cosmological constant
- Phantom field dynamics in loop quantum cosmology
- Cosmological footprints of loop quantum gravity
- On the measure problem in slow roll inflation and loop quantum cosmology
- Cosmic recall and the scattering picture of Loop Quantum Cosmology
- Loop Quantum Cosmology and Spin Foams
- Hybrid Quantization: From Bianchi I to the Gowdy Model
- Quantization ambiguities and bounds on geometric scalars in anisotropic loop quantum cosmology
- Hybrid quantization of an inflationary model: The flat case
- A CDM bounce scenario
- Primordial power spectra for scalar perturbations in loop quantum cosmology
- Numerical evolution of squeezed and non-Gaussian states in loop quantum cosmology
- Contrasting features of anisotropic loop quantum cosmologies: the role of spatial curvature
- Quantum gravitational Kasner transitions in Bianchi-I spacetime
- Path Integrals and the WKB approximation in Loop Quantum Cosmology
- Numerical simulations of general gravitational singularities
- Preferred instantaneous vacuum for linear scalar fields in cosmological space-times
- Duration of inflation and conditions at the bounce as a prediction of effective isotropic loop quantum cosmolog
- Open FRW model in Loop Quantum Cosmology
- Effective State Metamorphosis in Semi-Classical Loop Quantum Cosmology
- Semiclassical States for Constrained Systems
- Phenomenological investigation of a quantum gravity extension of inflation with the Starobinsky potential
- Loop quantum cosmology of k=1 FRW: A tale of two bounces
- Prescriptions in Loop Quantum Cosmology: A comparative analysis
- Coherent semiclassical states for loop quantum cosmology
- Relating loop quantum cosmology to loop quantum gravity: Symmetric sectors and embeddings
- Refined Algebraic Quantization: Systems with a single constraint
- On the Semiclassical Limit of Loop Quantum Cosmology
- Thermal fluctuations in loop cosmology
- Primordial scalar power spectrum from the Euclidean Big Bounce
- Observational Exclusion of a Consistent Quantum Cosmology Scenario
- Generalized effective description of loop quantum cosmology
- The covariant entropy bound and loop quantum cosmology
- Lattice Refining Loop Quantum Cosmology and Inflation
- Observing the Big Bounce with Tensor Modes in the Cosmic Microwave Background: Phenomenology and Fundamental LQC Parameters
- Consistent Probabilities in Wheeler-DeWitt Quantum Cosmology
- Numerical loop quantum cosmology: an overview
- Non-singular Ekpyrotic/Cyclic model in Loop Quantum Cosmology
- Primordial tensor modes of the early Universe
- Physical time and other conceptual issues of QG on the example of LQC
- Inflationary Attractors and their Measures
- Non-singular inflationary universe from polymer matter
- Singularities in loop quantum cosmology
- Fully Loop-Quantum-Cosmology-corrected propagation of gravitational waves during slow-roll inflation
- Difficulties with Recollapsing models in Closed Isotropic Loop Quantum Cosmology
- Type I singularities and the Phantom Menace
- Effective dynamics of scalar perturbations in a flat Friedmann-Robertson-Walker spacetime in Loop Quantum Cosmology
- Tachyon field in Loop Quantum Cosmology: inflation and evolution picture
- Non-singular Power-law and Assisted inflation in Loop Quantum Cosmology
- Effective Dynamics in Bianchi Type II Loop Quantum Cosmology
- Separate universes in loop quantum cosmology: framework and applications
- Loop Quantum Cosmology: A cosmological theory with a view
- Is classical flat Kasner spacetime flat in quantum gravity?
- Numerical Techniques in Loop Quantum Cosmology
- Unique factor ordering in the continuum limit of LQC
- QFT on quantum spacetime: a compatible classical framework
- Inflation from non-minimally coupled scalar field in loop quantum cosmology
- Singularity resolution from polymer quantum matter
- Modified Friedmann equation and survey of solutions in effective Bianchi-I loop quantum cosmology
- Polymer inflation
- Loop quantum cosmology of Bianchi IX: Inclusion of inverse triad corrections
- The consistent histories approach to loop quantum cosmology
- Discretisation parameter and operator ordering in loop quantum cosmology with the cosmological constant
Cited by in corpus (24)
- Quantum Extension of the Kruskal Space-time
- (b,v)-type variables for black to white hole transitions in effective loop quantum gravity
- Testing loop quantum cosmology
- Effective Dynamics from Coherent State Path Integral of Full Loop Quantum Gravity
- Improved (-Scheme) Effective Dynamics of Full Loop Quantum Gravity
- On the canonical structure of general relativity with a limiting curvature and its relation to loop quantum gravity
- Predictions for the CMB from an anisotropic quantum bounce
- Loop Quantum Gravity on Dynamical Lattice and Improved Cosmological Effective Dynamics with Inflaton
- Quantum reduced loop gravity effective Hamiltonians from a statistical regularization scheme
- Manifestly Gauge-Invariant Cosmological Perturbation Theory from Full Loop Quantum Gravity
- Closing the gaps in quantum space and time: Conformally augmented gauge structure of gravitation
- Loop effective model for Schwarzschild black hole interior: a modified dynamics
- Vector perturbations in bouncing cosmology
- Quantization of time and the big bang via scale-invariant loop gravity
- Path integral renormalisation in loop quantum cosmology
- Renormalisation with SU(1, 1) coherent states on the LQC Hilbert space
- Qualitative study in Loop Quantum Cosmology
- Bianchi I effective dynamics in Quantum Reduced Loop Gravity
- Conformal structure of FLRW Cosmology: Spinorial representation and the so(3,2) algebra of observables
- Solvable Loop Quantum Cosmology: domain of the volume observable and semiclassical states
- The Physical Relevance of the Fiducial Cell in Loop Quantum Cosmology
- Cosmological dynamics in spin-foam loop quantum cosmology: challenges and prospects
- Thermodynamics of spacetime from minimal area
- Introdução à Cosmologia Quântica