Exact U(1) symmetric cosmologies with local Mixmaster dynamics

Details Exact U(1) symmetric cosmologies with local Mixmaster dynamics Exact U(1) symmetric cosmologies with local Mixmaster dynamics

2000-01-25

arxiv.org/abs/gr-qc/0001083v1

Phys.Rev. D62 (2000) 023509

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 5 figures, uses RevTeX and psfig

Scientific paper

10.1103/PhysRevD.62.023509

By applying a standard solution generating technique, we transform an arbitrary vacuum Mixmaster solution on $S^3 \times {\bf R}$ to a new solution which is spatially inhomogeneous. We thereby obtain a family of exact, spatially inhomogeneous, vacuum spacetimes which exhibit Belinskii, Khalatnikov, and Lifshitz (BKL) oscillatory behavior. The solutions are constructed explicitly by performing the transformations on numerically generated, homogeneous Mixmaster solutions. Their behavior is found to be qualitatively like that seen in previous numerical simulations of generic U(1) symmetric cosmological spacetimes on $T^3 \times {\bf R}$.

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