Exact U(1) symmetric cosmologies with local mixmaster dynamics - art. no. 023509

By applying a standard solution generating technique, we transform an arbit rary vacuum Mixmaster solution on S-3 x R to a new solution which is spatia lly inhomogeneous. We thereby obtain a family of exact, spatially inhomogen eous, vacuum spacetimes which exhibit Belinskii-Khalatnikov-Lifshitz oscill atory 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 nume rical simulations of generic U(1) symmetric cosmological spacetimes on T-3 x R.