# Quantum geometrodynamics of the Bianchi IX cosmological model

@article{Kheyfets2006QuantumGO, title={Quantum geometrodynamics of the Bianchi IX cosmological model}, author={Arkady Kheyfets and Warner A. Miller and Ruslan Vaulin}, journal={Classical and Quantum Gravity}, year={2006}, volume={23}, pages={4333-4351} }

The canonical quantum theory of gravity?quantum geometrodynamics (QG)?is applied to the homogeneous Bianchi type IX cosmological model. As a result, a framework for the quantum theory of homogeneous cosmologies is developed. We show that the theory is internally consistent and prove that it possesses the correct classical limit (the theory of general relativity). To emphasize the special role that the constraints play in this new theory, we compare it to the traditional ADM square-root and…

## 6 Citations

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A cosmological description of the universe is proposed in the context of Hamiltonian formulation of a Bianchi IX cosmology minimally coupled to a massless scalar field. The classical and quantum…

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The Belinski-Khalatnikov-Lifshitz (BKL) conjecture predicts a chaotic alternation of Kasner epochs in the evolution of generic classical spacetimes towards a spacelike singularity. As a first step…

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