Loop Quantum Cosmology: Recent Progress

Abstract

Aspects of the full theory of loop quantum gravity can be studied in a simpler context by reducing to symmetric models like cosmological ones. This leads to several applications where loop effects play a significant role when one is sensitive to the quantum regime. As a consequence, the structure of and the approach to classical singularities are very different from general relativity: The quantum theory is free of singularities, and there are new phenomenological scenarios for the evolution of the very early universe including inflation. We give an overview of the main effects, focussing on recent results obtained by several different groups.

17 pages, 2 figures, Plenary talk at ICGC 04, Cochin, India

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Cited by in corpus (63)

• Anomaly freedom in perturbative loop quantum gravity
• Introduction to Loop Quantum Cosmology
• Spherically Symmetric Quantum Geometry: Hamiltonian Constraint
• Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
• Loop quantum gravity corrections to gravitational wave dispersion
• Deformed General Relativity and Effective Actions from Loop Quantum Gravity
• On the Hamiltonian Constraint of Loop Quantum Cosmology
• Loop quantum cosmology and inhomogeneities
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity
• Black hole interior from loop quantum gravity
• Theorems on existence and global dynamics for the Einstein equations
• Observational issues in loop quantum cosmology
• Singularities and Quantum Gravity
• Consistent Loop Quantum Cosmology
• The Bianchi IX model in Loop Quantum Cosmology
• Quantum nature of cosmological bounces
• Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
• Formation and Evolution of Structure in Loop Cosmology
• Cosmological vector modes and quantum gravity effects
• Effective State Metamorphosis in Semi-Classical Loop Quantum Cosmology
• The gravitational wave background from super-inflation in Loop Quantum Cosmology
• Inflationary observables in loop quantum cosmology
• Genericness of inflation in isotropic loop quantum cosmology
• Primordial Density Perturbation in Effective Loop Quantum Cosmology
• On the Physical Hilbert Space of Loop Quantum Cosmology
• Absence of pre-classical solutions in Bianchi I loop quantum cosmology
• Effective constraints of loop quantum gravity
• The Dark Side of a Patchwork Universe
• Relic gravitons as the observable for Loop Quantum Cosmology
• Feasibility of a Unitary Quantum Dynamics in the Gowdy $T^3$ Cosmological Model
• Inflationary scalar spectrum in loop quantum cosmology
• Loops rescue the no-boundary proposal
• Degenerate Configurations, Singularities and the Non-Abelian Nature of Loop Quantum Gravity
• Inverse volume corrections from loop quantum gravity and the primordial tensor power spectrum in slow-roll inflation
• Absence of the Kasner singularity in the effective dynamics from loop quantum cosmology
• Elements of Loop Quantum Cosmology
• Correspondence between Loop-inspired and Braneworld Cosmology
• Quantization of Friedmann-Robertson-Walker spacetimes in the presence of a negative cosmological constant and radiation
• Tachyon Matter in Loop Quantum Cosmology
• Minisuperspace models as infrared contributions
• Early Universe Dynamics in Semi-Classical Loop Quantum Cosmology
• Numerical Techniques in Loop Quantum Cosmology
• Pre-classical solutions of the vacuum Bianchi I loop quantum cosmology
• Dirac Fields in Loop Quantum Gravity and Big Bang Nucleosynthesis
• On Energy Conditions and Stability in Effective Loop Quantum Cosmology
• Loop quantum gravity, signature change, and the no-boundary proposal
• Quantum Geometry and its Implications for Black Holes
• Quasi-Local Energy in Loop Quantum Gravity
• Is Bianchi I a Bouncing Cosmology in the Wheeler-DeWitt picture?
• Time before Time - Classifications of universes in contemporary cosmology, and how to avoid the antinomy of the beginning and eternity of the world
• Factor ordering and large-volume dynamics in quantum cosmology
• Loop Quantum Cosmology: Effective theories and oscillating universes
• Quantum Big Bounce of the isotropic Universe via a relational time
• Gravitational wave generation in loop quantum cosmology
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• Loop quantum cosmology and the Wheeler-De Witt equation
• Fourth order deformed general relativity
• Mathematical properties of cosmological models with accelerated expansion
• The energy spectrum of gravitational waves in a loop quantum cosmological model
• On the Green's function and iterative solutions of Loop Quantum Cosmology
• Deformed general relativity
• The averaged tensors of the relative energy-momentum and angular momentum in general relativity