The exploration of the universe has recently entered a new era thanks to the multi-
messenger paradigm, characterized by a continuous increase in the quantity and quality of …

We review the general features of nonsingular universes (ie those that go from an era of
accelerated collapse to an expanding era without displaying a singularity) as well as cyclic …

Quantum gravity is expected to be necessary in order to understand situations in which
classical general relativity breaks down. In particular in cosmology one has to deal with …

Introduction to Loop Quantum Cosmology Symmetry, Integrability and Geometry: Methods
and Applications (SIGMA) SIGMA 8 (2012), 016, 73 pages arXiv:1109.6801 https://doi.org/10.3842/SIGMA.2012.016 …

This chapter provides a review of the frameworks developed for cosmological perturbation
theory in loop quantum cosmology and applications to various models of the early universe …

A fully consistent linear perturbation theory for cosmology is derived in the presence of
quantum corrections as they are suggested by properties of inverse volume operators in …

We quantize to completion an inflationary universe with small inhomogeneities in the
framework of loop quantum cosmology. The homogeneous setting consists of a massive …

The big bang singularity could be understood as a breakdown of Einstein's general relativity
at very high energies. By adopting this viewpoint, other theories that implement Einstein …

Loop quantum cosmology yields two kinds of quantum corrections to the effective equations
of motion for cosmological perturbations. Here we focus on the holonomy kind and we study …

Quantum gravity is sometimes considered as a kind of metaphysical speculation. In this
review, we show that, although still extremely difficult to reach, observational signatures can …