Modified Friedmann equation and survey of solutions in effective Bianchi-I loop quantum cosmology

TL;DR

This paper derives a modified Friedmann equation in loop quantum cosmology for Bianchi-I universes and explores various solutions, revealing most do not revert to classical cosmology.

Contribution

The paper introduces a new form of the Friedmann equation in effective loop quantum cosmology for Bianchi-I models and surveys the resulting solution space.

Findings

Most solutions deviate from classical behavior

Derived a generalized Friedmann equation in LQC

Identified different solution types

Abstract

In this article, we study the equations driving the dynamics of a Bianchi-I universe described by holonomy corrected effective loop quantum cosmology. We derive the LQC-modified generalized Friedmann equation, which is used as a guide to find different types of solutions. It turns out that, in this framework, most solutions never reach the classical behavior.