Loop Quantum Cosmology

Abstract

This Chapter provides an up to date, pedagogical review of some of the most relevant advances in loop quantum cosmology. We review the quantization of homogeneous cosmological models, their singularity resolution and the formulation of effective equations that incorporate the main quantum corrections to the dynamics. We also summarize the theory of quantized metric perturbations propagating in those quantum backgrounds. Finally, we describe how this framework can be applied to obtain a self-consistent extension of the inflationary scenario to incorporate quantum aspects of gravity, and to explore possible phenomenological consequences.

To appear as a Chapter of "The Springer Handbook of Spacetime," edited by A. Ashtekar and V. Petkov. (Springer-Verlag, at Press). 52 pages, 5 figures

References in corpus (40)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Loop quantum cosmology of k=1 FRW models
• Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
• Enhanced Non-Gaussianity from Excited Initial States
• The pre-inflationary dynamics of loop quantum cosmology: Confronting quantum gravity with observations
• Are loop quantum cosmos never singular?
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• The Measure Problem in Cosmology
• Loop quantum cosmology and the k = - 1 RW model
• Towards Spinfoam Cosmology
• Closed FRW model in Loop Quantum Cosmology
• Anti-deSitter universe dynamics in LQC
• Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations
• Loop quantum gravity corrections to gravitational wave dispersion
• Is loop quantization in cosmology unique?
• Hybrid quantization of an inflationary universe
• A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology
• Quantum field theory on a cosmological, quantum space-time
• Loop Quantization of Vacuum Bianchi I Cosmology
• Physical evolution in Loop Quantum Cosmology: The example of vacuum Bianchi I
• Quantum bounce and cosmic recall
• Inhomogeneous Loop Quantum Cosmology: Hybrid Quantization of the Gowdy Model
• Measure and Probability in Cosmology
• On the measure problem in slow roll inflation and loop quantum cosmology
• Cosmological footprints of loop quantum gravity
• Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
• Formation and Evolution of Structure in Loop Cosmology
• Quantum gravitational Kasner transitions in Bianchi-I spacetime
• Path Integrals and the WKB approximation in Loop Quantum Cosmology
• Open FRW model in Loop Quantum Cosmology
• A Hamiltonian Formulation of the BKL Conjecture
• Gauge invariant perturbations around symmetry reduced sectors of general relativity: applications to 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
• Hamiltonian General Relativity and the Belinskii, Khalatnikov, Lifshitz Conjecture
• Inflationary tensor fluctuations, as viewed by Ashtekar variables and their imaginary friends
• QFT on quantum spacetime: a compatible classical framework
• Lorentz Symmetry in QFT on Quantum Bianchi I Space-Time
• Inclusion of matter in inhomogeneous loop quantum cosmology

Cited by in corpus (11)

• Quantum Gravity in the Sky: Interplay between fundamental theory and observations
• Large scale anomalies in the CMB and non-Gaussianity in bouncing cosmologies
• Non-Gaussianity in Loop Quantum Cosmology
• Phenomenology with fluctuating quantum geometries in loop quantum cosmology
• Anomalies in the CMB from a cosmic bounce
• Quantum fields in the background spacetime of a loop quantum gravity black hole
• Loop quantum cosmology of Bianchi IX: Effective dynamics
• Diffeomorphism invariant cosmological sector in loop quantum gravity
• Noncommutative Effective LQC: inclusion of potential term
• Cosmological dynamics in spin-foam loop quantum cosmology: challenges and prospects
• Categorical Quantum Volume Operator