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By applying a standard solution generating technique, we transform anarbitrary vacuum Mixmaster solution on $S^3 \times {\bf R}$ to a new solutionwhich 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 areconstructed explicitly by performing the transformations on numericallygenerated, homogeneous Mixmaster solutions. Their behavior is found to bequalitatively like that seen in previous numerical simulations of generic U(1)symmetric cosmological spacetimes on $T^3 \times {\bf R}$.Comment: 13 pages, 5 figures, uses RevTeX and psfi

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Exact<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo><mml:mn /></mml:math>symmetric cosmologies with local mixmaster dynamics

ExactU(1)symmetric cosmologies with local mixmaster dynamics