# Loop quantum cosmology of Bianchi type IX models

@article{WilsonEwing2009LoopQC, title={Loop quantum cosmology of Bianchi type IX models}, author={Edward Wilson-Ewing}, journal={Physical Review D}, year={2009}, volume={82}, pages={043508} }

The ''improved dynamics'' of loop quantum cosmology is extended to include anisotropies of the Bianchi type I model. As in the isotropic case, a massless scalar field serves as a relational time parameter. However, the extension is nontrivial because one has to face several conceptual subtleties as well as technical difficulties. These include a better understanding of the relation between loop quantum gravity and loop quantum cosmology, handling novel features associated with the nonlocal…

## 160 Citations

### Loop quantum cosmology of Bianchi I models

- Physics
- 2009

The 'improved dynamics' of loop quantum cosmology is extended to include anisotropies of the Bianchi I model. As in the isotropic case, a massless scalar field serves as a relational time parameter.…

### Loop quantum cosmology of Bianchi type II models

- Physics
- 2009

The “improved dynamics” of loop quantum cosmology is extended to include the Bianchi type II model. Because these space-times admit both anisotropies and nonzero spatial curvature, certain technical…

### Loop quantum cosmology of Bianchi IX: effective dynamics

- Physics, MathematicsClassical and Quantum Gravity
- 2017

We study solutions to the effective equations for the Bianchi IX class of spacetimes within loop quantum cosmology (LQC). We consider Bianchi IX models whose matter content is a massless scalar…

### Effective dynamics in Bianchi type II loop quantum cosmology

- Mathematics, Physics
- 2012

We numerically investigate the solutions to the effective equations of the Bianchi II model within the ``improved'' loop quantum cosmology dynamics. The matter source is a massless scalar field. We…

### Loop quantum cosmology: a status report

- Physics
- 2011

Loop quantum cosmology (LQC) is the result of applying principles of loop quantum gravity (LQG) to cosmological settings. The distinguishing feature of LQC is the prominent role played by the quantum…

### A quantum gravitational inflationary scenario in Bianchi-I spacetime

- Physics
- 2013

We investigate the ϕ2 inflationary model in the Bianchi-I spacetime using the effective spacetime description of loop quantum cosmology to understand the issues of the resolution of initial…

### New Hamiltonians for loop quantum cosmology with arbitrary spin representations

- Physics
- 2017

In loop quantum cosmology, one has to make a choice of SU(2) irreducible representation in which to compute holonomies and regularize the curvature of the connection. The systematic choice made in…

### New loop quantum cosmology modifications from gauge-covariant fluxes

- PhysicsPhysical Review D
- 2019

Loop quantum cosmology is a symmetry reduced quantization of cosmological spacetimes based on loop quantum gravity. While it has been successful in resolution of various cosmological singularities…

### Examination of the nature of the Bianchi type cosmological singularities

- Physics
- 2011

We present quantum (and classical) Bianchi I model, with free massless scalar field, of the Universe. Our model may be treated as the simplest prototype of the quantum BKL…

### Loop quantum cosmology of Bianchi IX: Inclusion of inverse triad corrections

- Mathematics, Physics
- 2016

We consider the loop quantization of the (diagonal) Bianchi type IX cosmological model. We explore different quantization prescriptions that extend the work of Wilson-Ewing and Singh. In particular,…

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The 'improved dynamics' of loop quantum cosmology is extended to include anisotropies of the Bianchi I model. As in the isotropic case, a massless scalar field serves as a relational time parameter.…

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- 2009

The “improved dynamics” of loop quantum cosmology is extended to include the Bianchi type II model. Because these space-times admit both anisotropies and nonzero spatial curvature, certain technical…

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