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 …

This article lays out a complete framework for an effective theory of cosmological
perturbations with corrections from canonical quantum gravity. Since several examples exist …

We present a complete quantization of an approximately homogeneous and isotropic
universe with small scalar perturbations. We consider the case in which the matter content is …

In order to investigate the potential observational signals of different regularization
ambiguities in loop quantum cosmological models, we systematically compute and compare …

In canonical gravity, covariance is implemented by brackets of hypersurface-deformation
generators forming a Lie algebroid. Lie-algebroid morphisms, therefore, allow one to relate …

This book lays the foundations of quantum cosmology, developing classical cosmology and
quantum physics based on general principles without requiring detailed background …

The dressed-metric approach is shown to violate general covariance by demonstrating that it
cannot have an off-shell completion in which the correct infinitesimal relations of space-time …

In this Letter, we describe a general mechanism for emergence of a rainbow metric from a
quantum cosmological model. This idea is based on QFT on a quantum spacetime. Under …

Quantum evolution of a scalar field's modes propagating on quantum spacetime of a
collapsing homogeneous dust ball is written effectively as an evolution of the same quantum …

Quantum cosmology is traditionally formulated in a minisuperspace setting, implicitly
averaging fields over space to obtain homogeneous models. For universal reasons related …