Loop quantum cosmology of Bianchi type IX models

Towards inhomogeneous loop quantum cosmology: triangulating Bianchi IX with perturbations

The Bianchi IX model in Loop Quantum Cosmology

Martin Bojowald, ∗ Ghanashyam Date, † and Golam Mortuza Hossain ‡ Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Golm, Germany The Institute of Mathematical Sciences CIT Campus, Chennai-600 113, INDIA. Abstract The Bianchi IX model has been used often to investigate the structure close to singularities of general relativity. Its classical chaos is...

Absence of preclassical solutions in Bianchi I loop quantum cosmology.

Loop quantum cosmology, the symmetry reduction of quantum geometry for the study of various cosmological situations, leads to a difference equation for its quantum evolution equation. To ensure that solutions of this equation act in the expected classical manner far from singularities, additional restrictions are imposed on the solution. In this Letter, we consider the Bianchi I model, both the...

Chern-Simons functional and the no-boundary proposal in Bianchi type IX quantum cosmology.

The Chern-Simons functional SCS is an exact solution to the AshtekarHamilton-Jacobi equation of general relativity with a nonzero cosmological constant. In this paper we consider SCS in Bianchi type IX cosmology with S spatial surfaces. We show that among the classical solutions generated by SCS, there is a two-parameter family of Euclidean spacetimes that have a regular NUT-type closing. When ...

Bianchi-type string cosmology

Bianchi-type string cosmology involves generalizations of the FRW backgrounds with three transitive spacelike Killing symmetries, but without any a priori assumption of isotropy in the 3D sections of homogeneity. With emphasis on those cases with diagonal metrics and vanishing cosmological constant which have not been previously examined in the literature, the present findings allow an overview...