# Isotropic loop quantum cosmology

@article{Bojowald2002IsotropicLQ, title={Isotropic loop quantum cosmology}, author={Martin Bojowald}, journal={Classical and Quantum Gravity}, year={2002}, volume={19}, pages={2717-2741} }

Isotropic models in loop quantum cosmology allow explicit calculations, thanks largely to a completely known volume spectrum, which is exploited in order to write down the evolution equation in a discrete internal time. Because of genuinely quantum geometrical effects, the classical singularity is absent in those models in the sense that the evolution does not break down there, contrary to the classical situation where spacetime is inextendible. This effect is generic and does not depend on…

## 240 Citations

### Loop Quantum Cosmology

- PhysicsLiving reviews in relativity
- 2005

Quantum gravity is expected to be necessary in order to understand situations where classical general relativity breaks down. In particular in cosmology one has to deal with initial singularities,…

### Loop Quantum Cosmology

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- 2008

L loop quantum cosmology is an application of loop quantum gravity to homogeneous systems, which removes classical singularities and introduces the main effects of quantum effects into effective classical equations, which allow one to avoid the interpretational problems of quantum theory.

### Loop quantum cosmology and inhomogeneities

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- 2006

Inhomogeneities are introduced in loop quantum cosmology using regular lattice states, with a kinematical arena similar to that in homogeneous models considered earlier. The framework is intended to…

### Discreteness corrections to the effective Hamiltonian of isotropic loop quantum cosmology

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- 2013

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- PhysicsUniverse
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Quantum cosmology is traditionally formulated in a minisuperspace setting, implicitly averaging fields over space to obtain homogeneous models. For universal reasons related to the uncertainty…

### Factor ordering and large-volume dynamics in quantum cosmology

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- 2014

Quantum cosmology implies corrections to the classical equations of motion, which may lead to significant departures from the classical trajectory, especially at high curvature near the big-bang…

### Anti-de Sitter universe dynamics in loop quantum cosmology

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- 2008

A model for a flat isotropic universe with a negative cosmological constant A and a massless scalar field as sole matter content is studied within the framework of loop quantum cosmology. By…

### Loop quantum cosmology in Bianchi type I models : Analytical investigation

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- 2007

The comprehensive formulation for loop quantum cosmology in the spatially flat, isotropic model was recently constructed. In this paper, the methods are extended to the anisotropic Bianchi I…

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