A Remark on Kink and Time Machines
We describe an elementary proof that a manifold with the topology of the Politzer time machine does not admit a nonsingular, asymptotical flat Lorentz metric.
topology of the Politzer time machine Lorentz metr↗
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Evolving a Puncture Black Hole with Fixed Mesh Refinement
We present a detailed study of the effects of mesh refinement boundaries on the convergence and stability of simulations of black hole spacetimes. We find no technical problems. In our applications of this technique to the evolution of puncture initial data, we demonstrate that it is possible to simulaneously maintain second order convergence near the puncture and extend the outer boundary beyond 100M, thereby approaching the asymptotically flat region in which boundary condition problems are less difficult.
Imbiriba, Breno↗