Loop Quantum Cosmology: Anisotropy and singularity resolution

TL;DR

This paper investigates how loop quantum cosmology (LQC) can resolve singularities in various homogeneous models, demonstrating non-chaotic behavior in the vacuum Bianchi IX model through numerical simulations of effective equations.

Contribution

It provides numerical analysis of effective equations in LQC for isotropic and anisotropic models, showing singularity resolution and non-chaotic dynamics in Bianchi IX.

Findings

Singularity resolution observed in effective LQC models.

Non-chaotic behavior in vacuum Bianchi IX model.

Numerical evolution of geometrical invariants supports semiclassical spacetime.

Abstract

In this contribution we consider the issue of singularity resolution within loop quantum cosmology (LQC) for different homogeneous models. We present results of numerical evolutions of effective equations for both isotropic as well as anisotropic cosmologies, with and without spatial curvature. To address the issue of singularity resolution we examine the time evolution of geometrical and curvature invariants that yield information about the semiclassical spacetime geometry. We discuss generic behavior found for a variety of initial conditions. Finally, we show that the modifications which come from Loop Quantum Cosmology imply a non-chaotic effective behavior in the vacuum Bianchi IX model.