Formation and Evolution of Structure in Loop Cosmology

Abstract

Inhomogeneous cosmological perturbation equations are derived in loop quantum gravity, taking into account corrections in particular in gravitational parts. This provides a framework for calculating the evolution of modes in structure formation scenarios related to inflationary or bouncing models. Applications here are corrections to the Newton potential and to the evolution of large scale modes which imply non-conservation of curvature perturbations possibly noticeable in a running spectral index. These effects are sensitive to quantization procedures and test the characteristic behavior of correction terms derived from quantum gravity.

4 pages

References in corpus (6)

• Spherically Symmetric Quantum Geometry: States and Basic Operators
• Loop quantum cosmology and inhomogeneities
• Effective constraints of loop quantum gravity
• Elements of Loop Quantum Cosmology
• Degenerate Configurations, Singularities and the Non-Abelian Nature of Loop Quantum Gravity
• The Spectrum of Fluctuations in Singularity-free Inflationary Quantum Cosmology

Cited by in corpus (21)

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• Loop quantum gravity corrections to gravitational wave dispersion
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity
• The behavior of non-linear anisotropies in bouncing Bianchi I models of loop quantum cosmology
• Super-inflation in Loop Quantum Cosmology
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Cosmological vector modes and quantum gravity effects
• Inflationary universe in loop quantum cosmology
• The gravitational wave background from super-inflation in Loop Quantum Cosmology
• Gauge invariant perturbations around symmetry reduced sectors of general relativity: applications to cosmology
• Exact solutions for Big Bounce in loop quantum cosmology
• Thermal fluctuations in loop cosmology
• Effective constraints of loop quantum gravity
• On the Onset of Inflation in Loop Quantum Cosmology
• Tensor power spectrum with holonomy corrections in LQC
• Relic gravitons as the observable for Loop Quantum Cosmology
• The radiation equation of state and loop quantum gravity corrections
• Loop Quantum Cosmology: Effective theories and oscillating universes
• The probability of inflation in Loop Quantum Cosmology
• Effective equations of motion for constrained quantum systems: A study of the Bianchi I loop quantum cosmology