In this review, we investigate the question of backreaction in different approaches to
cosmological perturbation theory, and with a special focus on quantum theoretical aspects …

The canonical approach to quantum gravity has been put on a firm mathematical foundation
in the recent decades. Even the quantum dynamics can be rigorously defined, however, due …

We study the'improved dynamics' for the treatment of spherically symmetric space-times in
loop quantum gravity introduced by Chiou et al in analogy with the one that has been …

We present a systematic study of the cosmological dynamics resulting from an effective
Hamiltonian, recently derived in loop quantum gravity using Thiemann's regularization and …

The evolutions of the flat Friedmann-Lemaître-Robertson-Walker universe and its linear
perturbations are studied systematically in the dressed metric approach of loop quantum …

We investigate the consequences of the hybrid quantization approach for primordial
perturbations in loop quantum cosmology, obtaining predictions for the cosmic microwave …

Due to the numerical complexities of studying evolution in an anisotropic quantum
spacetime, in comparison to the isotropic models, the physics of loop quantized anisotropic …

The linearized Einstein field equations provide a low-energy wave equation for the
propagation of gravitational fields which may originate from a high-energy source. Motivated …

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 …

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 …