Effective constraints of loop quantum gravity

Abstract

Within a perturbative cosmological regime of loop quantum gravity corrections to effective constraints are computed. This takes into account all inhomogeneous degrees of freedom relevant for scalar metric modes around flat space and results in explicit expressions for modified coefficients and of higher order terms. It also illustrates the role of different scales determining the relative magnitude of corrections. Our results demonstrate that loop quantum gravity has the correct classical limit, at least in its sector of cosmological perturbations around flat space, in the sense of perturbative effective theory.

44 pages, 6 figures

References in corpus (6)

• Spherically Symmetric Quantum Geometry: States and Basic Operators
• Loop quantum cosmology and inhomogeneities
• Formation and Evolution of Structure in Loop Cosmology
• Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
• Elements of Loop Quantum Cosmology
• Degenerate Configurations, Singularities and the Non-Abelian Nature of Loop Quantum Gravity

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• Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
• Formation and Evolution of Structure in Loop Cosmology
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Cosmological vector modes and quantum gravity effects
• Effective equations for isotropic quantum cosmology including matter
• The Dark Side of a Patchwork Universe
• Dirac Fields in Loop Quantum Gravity and Big Bang Nucleosynthesis
• The radiation equation of state and loop quantum gravity corrections
• Loop Quantum Cosmology: Effective theories and oscillating universes
• Singularity Resolution in Isotropic Loop Quantum Cosmology: Recent Developments