Bianchi type-I string cosmological model in the presence of a magnetic field: classical versus loop quantum cosmology approaches

TL;DR

This paper compares classical and loop quantum cosmology approaches to a Bianchi type-I string cosmological model with magnetic flux, analyzing Einstein equations and quantum effects to understand their differences.

Contribution

It introduces a detailed comparison between classical and loop quantum cosmology treatments of a Bianchi type-I model with magnetic flux.

Findings

Quantum effects modify classical dynamics significantly.

Loop quantum cosmology predicts singularity resolution.

Classical and quantum models show different evolution behaviors.

Abstract

A Bianchi type-I cosmological model in the presence of a magnetic flux along a cosmological string is considered. The first objective of this study is to investigate Einstein equations using a tractable assumption usually accepted in the literature. Quantum effects of the present cosmological model are examined in the framework of loop quantum cosmology. Finally we draw a parallel between the classical and quantum approaches.