Appearance of classical Mixmaster Universe from the No-Boundary Quantum State

Details Appearance of classical Mixmaster Universe from the No-Boundary Quantum State Appearance of classical Mixmaster Universe from the No-Boundary Quantum State

2009-06-15

arxiv.org/abs/0906.2616v1

Phys.Rev.D80:023504,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 14 figures

Scientific paper

10.1103/PhysRevD.80.023504

We investigate the appearance of the classical anisotropic universe from the no-boundary quantum state according to the prescription proposed by Hartle, Hawking and Hertog. Our model is homogeneous, anisotropic, closed universes with a minimally coupled scalar field and cosmological constant. We found that there are an ensemble of classical Lorentzian histories with anisotropies and experience inflationary expansion at late time, and the probability of histories with anisotropies are lower than isotropic histories. Thus the no-boundary condition may be able to explain the emergence of our universe. If the classical late time histories are extended back, some become singular by the existence of initial anisotropies with large accelerations. However we do not find any chaotic behavior of anisotropies near the initial singularity.

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