Difficulties with Recollapsing models in Closed Isotropic Loop Quantum Cosmology

TL;DR

This paper investigates the behavior of solutions in closed isotropic loop quantum cosmology with a massless scalar field, highlighting difficulties in recollapsing models and analyzing initial condition requirements.

Contribution

It provides an analysis of solution behaviors in closed models, emphasizing challenges in recollapse scenarios within loop quantum cosmology.

Findings

Asymptotic behavior of solutions identified

Initial condition requirements analyzed

Difficulties with recollapsing models discussed

Abstract

The use of techniques from loop quantum gravity for cosmological models may solve some difficult problems in quantum cosmology. The solutions under a number of circumstances have been well studied. We will analyse the behaviour of solutions in the closed model, focusing on the behaviour of a universe containing a massless scalar field. The asymptotic behaviour of the solutions is examined, and is used to determine requirements of the initial conditions.