Loop quantum cosmology of the Bianchi I model: complete quantization

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...

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...

Towards inhomogeneous loop quantum cosmology: triangulating Bianchi IX with perturbations

Loop Quantum Cosmology I: Kinematics

The framework of quantum symmetry reduction is applied to loop quantum gravity with respect to transitively acting symmetry groups. This allows to test loop quantum gravity in a large class of minisuperspaces and to investigate its features – e.g. the discrete volume spectrum – in certain cosmological regimes. Contrary to previous studies of quantum cosmology (minisuperspace quantizations) the ...

Bianchi I Quantum cosmology in the Bergmann-Wagoner theory

Dedicated to Heinz Dehnen in honour of his 65th birthday. The Wheeler-DeWitt equation is considered in the context of generalized scalar-tensor theories of gravitation for the Bianchi type I cosmology. Exact solutions are found for two selfinteracting potentials and arbitrary coupling function. The WKB wavefunctions are obtained and a family of solutions satisfying the Hawking-Page regularity c...