Loop quantum cosmology: Anisotropy and singularity resolution

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 geometrical and curvature invariants that yield information about the spacetime geometry. We discuss generic behavior found for a variety of initial conditions.