# Loop quantum cosmology of Bianchi type IX models

## Abstract

The loop quantum cosmology 'improved dynamics' of the Bianchi type IX model are studied. The action of the Hamiltonian constraint operator is obtained via techniques developed for the Bianchi type I and type II models, no new input is required. It is shown that the big bang and big crunch singularities are resolved by quantum gravity effects. We also present effective equations which provide quantum geometry corrections to the classical equations of motion.

- Authors:

- Institute for Gravitation and the Cosmos, Physics Department, Pennsylvania State University, University Park, Pennsylvania 16802 (United States)

- Publication Date:

- OSTI Identifier:
- 21420914

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 82; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.82.043508; (c) 2010 American Institute of Physics

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; CORRECTIONS; COSMOLOGY; EQUATIONS OF MOTION; HAMILTONIANS; QUANTUM GRAVITY; SIMULATION; SINGULARITY; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FIELD THEORY; QUANTUM OPERATORS

### Citation Formats

```
Wilson-Ewing, Edward.
```*Loop quantum cosmology of Bianchi type IX models*. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVD.82.043508.

```
Wilson-Ewing, Edward.
```*Loop quantum cosmology of Bianchi type IX models*. United States. doi:10.1103/PHYSREVD.82.043508.

```
Wilson-Ewing, Edward. Sun .
"Loop quantum cosmology of Bianchi type IX models". United States.
doi:10.1103/PHYSREVD.82.043508.
```

```
@article{osti_21420914,
```

title = {Loop quantum cosmology of Bianchi type IX models},

author = {Wilson-Ewing, Edward},

abstractNote = {The loop quantum cosmology 'improved dynamics' of the Bianchi type IX model are studied. The action of the Hamiltonian constraint operator is obtained via techniques developed for the Bianchi type I and type II models, no new input is required. It is shown that the big bang and big crunch singularities are resolved by quantum gravity effects. We also present effective equations which provide quantum geometry corrections to the classical equations of motion.},

doi = {10.1103/PHYSREVD.82.043508},

journal = {Physical Review. D, Particles Fields},

number = 4,

volume = 82,

place = {United States},

year = {Sun Aug 15 00:00:00 EDT 2010},

month = {Sun Aug 15 00:00:00 EDT 2010}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.