Loop Quantum Gravity is a nonperturbative and background independent program for the
quantization of General Relativity. Its underlying formalism has been applied successfully to …

In this review, we focus on whether a canonical quantization of general relativity can
produce testable predictions for cosmology. In particular, we examine how this approach …

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 …

Inflationary models of the early universe provide a natural mechanism for the formation of
large scale structure. This success brings to forefront the question of naturalness: Does a …

In loop quantum cosmology (LQC) the big bang is replaced by a quantum bounce which is
followed by a robust phase of super-inflation. Rather than growing unboundedly in the past …

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

We consider cosmological perturbations around homogeneous and isotropic spacetimes
minimally coupled to a scalar field and present a formulation which is designed to preserve …

The flat, homogeneous, and isotropic universe with a massless scalar field is a paradigmatic
model in loop quantum cosmology. In spite of the prominent role that the model has played …

We study cosmological perturbations in the framework of loop quantum cosmology, using a
hybrid quantization approach and Mukhanov–Sasaki variables. The formulation in terms of …

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 …