Anomaly-free cosmological perturbations in effective canonical quantum gravity

Abstract

This article lays out a complete framework for an effective theory of cosmological perturbations with corrections from canonical quantum gravity. Since several examples exist for quantum-gravity effects that change the structure of space-time, the classical perturbative treatment must be rethought carefully. The present discussion provides a unified picture of several previous works, together with new treatments of higher-order perturbations and the specification of initial states.

1+52 pages. v2: discussions extended and improved throughout the text, references added, typos corrected, conclusions unchanged

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• Hypersurface-deformation algebroids and effective space-time models
• Pre-inflationary dynamics in loop quantum cosmology: Power-law potentials
• An Overview on the Nature of the Bounce in LQC and PQM
• First Combined Study on LIV from Observations of Energy-dependent Time Delays from Multiple-type Gamma-ray Sources -- Part I. Motivation, Method Description and Validation through Simulations of H.E.S.S., MAGIC and VERITAS Datasets
• Hamiltonian formulation and loop quantization of a recent extension of the Kruskal spacetime
• Deformed symmetries in noncommutative and multifractional spacetimes
• Effective Field Theory of Loop Quantum Cosmology
• Deformed covariance in spherically symmetric vacuum models of loop quantum gravity: Consistency in Euclidean and self-dual gravity
• Loop quantum cosmological dynamics of scalar-tensor theory in the Jordan frame
• Quantisation ambiguities and the effective dynamics of scalar-tensor theories in loop quantum cosmology