Approximate pre-classical solutions in loop quantum cosmology

TL;DR

This paper introduces a numerical approximation method for pre-classical solutions in loop quantum cosmology, successfully applying it to Bianchi I models and discovering a new solution with a cosmological constant.

Contribution

The paper presents a novel numerical technique for approximating pre-classical solutions and applies it to new models, including a previously unreported solution with a cosmological constant.

Findings

Successfully applied to vacuum Bianchi I models

Recovered known solutions in the field

Discovered a new solution with cosmological constant

Abstract

In this paper we introduce a numerical approximation technique to obtain pre-classical solutions to models of loop quantum gravity. In particular, we apply the technique to vacuum Bianchi I cosmological models and recover known solutions. We also present a pre-classical solution to the Bianchi I LRS model with cosmological constant, which has not appeared elsewhere.