On the dynamics of the general Bianchi IX spacetime near the singularity
arXiv:1807.06261 · doi:10.1140/epjc/s10052-018-6155-8
Abstract
We show that the complex dynamics of the general Bianchi IX universe in the vicinity of the spacelike singularity can be approximated by a simplified system of equations. Our analysis is mainly based on numerical simulations. The properties of the solution space can be studied by using this simplified dynamics. Our results will be useful for the quantization of the general Bianchi IX model.
arXiv comment20 pages, 5 figures, minor changes
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- Generic instability of the dynamics underlying the Belinski-Khalatnikov-Lifshitz scenario
- Bianchi IX geometry and the Einstein-Maxwell theory
- Curvature invariants for the Bianchi IX spacetime filled with tilted dust
- Quantum Kasner transition in a locally rotationally symmetric Bianchi II universe
- Weyl Curvature Hypothesis in light of Quantum Backreaction at Cosmological Singularities or Bounces
- Matter-antimatter asymmetry in a rotating universe: Dirac spinors in axisymmetric Bianchi IX cosmology
- Semiclassical study of the Mixmaster model: the quantum Kasner map