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 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.

12 pages, 4 figures, To appear in the Proceedings of the Relativity and Gravitation 100 Years after Einstein in Prague; Addition of comments and references

References in corpus (15)

• Loop Quantum Cosmology: A Status Report
• Quantum Nature of the Big Bang: Improved dynamics
• Robustness of key features of loop quantum cosmology
• Loop quantum cosmology of Bianchi I models
• Loop quantum cosmology of Bianchi type IX models
• A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology
• Quantum bounce and cosmic recall
• Curvature invariants, geodesics and the strength of singularities in Bianchi-I loop quantum cosmology
• Cosmic recall and the scattering picture of Loop Quantum Cosmology
• Contrasting features of anisotropic loop quantum cosmologies: the role of spatial curvature
• Quantum suppression of the generic chaotic behavior close to cosmological singularities
• Quantum gravitational Kasner transitions in Bianchi-I spacetime
• Loop quantum cosmology of k=1 FRW: A tale of two bounces
• Coherent semiclassical states for loop quantum cosmology
• Effective Dynamics in Bianchi Type II Loop Quantum Cosmology