Vector fields and Loop Quantum Cosmology

TL;DR

This paper investigates how holonomy corrections in Loop Quantum Cosmology affect Bianchi I models with vector fields, showing a classical Big Bounce scenario with smooth transitions and absence of initial singularity.

Contribution

It demonstrates that holonomy corrections lead to a Big Bounce in Bianchi I models with vector fields, extending previous models to include anisotropic effects.

Findings

Smooth transition between Kasner-like solutions

Absence of initial curvature singularity

Finite maximal energy density

Abstract

In the context of the Loop Quantum Cosmology we have analysed the holonomy correction to the classical evolution of the simplified Bianchi I model in the presence of vector fields. For the Universe dominated by a massive vector field or by a combination of a scalar field and a vector field a smooth transition between Kasner-like and Kasner-unlike solutions for a Bianchi I model has been demonstrated. In this case a lack of initial curvature singularity and a finite maximal energy density appear already at the level of General Relativity, which simulates a classical Big Bounce.