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 the framework of Loop Quantum Cosmology (LQC), inhomogeneous models are usually
quantized by means of a hybrid approach that combines loop quantization techniques with …

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

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 …

We study cosmological tensor perturbations on a quantized background within the hybrid
quantization approach. In particular, we consider a flat, homogeneous and isotropic …

Loop quantum cosmology has recently been applied in order to extend the analysis of
primordial perturbations to the Planck era and discuss the possible effects of quantum …

We explore the possibility of selecting a natural vacuum state for scalar and tensor gauge-
invariant cosmological perturbations in the context of hybrid quantum cosmology, by …

We investigate the role played by the vacuum of the primordial fluctuations in hybrid Loop
Quantum Cosmology. We consider scenarios where the inflaton potential is a mass term and …

Quantum field theory in curved space-times is a well developed area in mathematical
physics which has had important phenomenological applications to the very early universe …