A Brief Introduction to Loop Quantum Cosmology

TL;DR

This paper introduces Loop Quantum Cosmology, a branch of quantum gravity applying Loop Quantum Gravity techniques to cosmological models, highlighting its key results like singularity resolution through a quantum bounce.

Contribution

It summarizes the fundamentals of Loop Quantum Cosmology and compares it with traditional approaches, emphasizing its novel singularity resolution mechanism.

Findings

Resolution of the big-bang singularity as a quantum bounce

Application of Loop Quantum Gravity techniques to cosmological models

Main differences with conventional quantization methods

Abstract

In recent years, Loop Quantum Gravity has emerged as a solid candidate for a nonperturbative quantum theory of General Relativity. It is a background independent theory based on a description of the gravitational field in terms of holonomies and fluxes. In order to discuss its physical implications, a lot of attention has been paid to the application of the quantization techniques of Loop Quantum Gravity to symmetry reduced models with cosmological solutions, a line of research that has been called Loop Quantum Cosmology. We summarize its fundamentals and the main differences with respect to the more conventional quantization approaches employed in cosmology until now. In addition, we comment on the most important results that have been obtained in Loop Quantum Cosmology by analyzing simple homogeneous and isotropic models. These results include the resolution of the classical big-bang singularity, which is replaced by a quantum bounce.