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 …

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 …

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 …

Closed, singularity-free, inflationary cosmological models have recently been studied in the
context of general relativity. Despite their appeal, these so called emergent models suffer …

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 …

Variables adapted to the quantum dynamics of spherically symmetric models are introduced,
which further simplify the spherically symmetric volume operator and allow an explicit …

The discrete quantum geometric effects play an important role in dynamical evolution in the
loop quantum cosmology. These effects which are significant at the high energies lead to the …

We investigate the background dynamics when dark energy is coupled to dark matter in the
Universe described by Einstein cosmology and loop quantum cosmology. We introduce a …

Inhomogeneities are introduced in loop quantum cosmology using regular lattice states, with
a kinematical arena similar to that in homogeneous models considered earlier. The …

In this paper we construct the Hamiltonian constraint operator of loop quantum cosmology
using holonomies defined for arbitrary irreducible SU (2) representations labeled by spin J …