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Remarks on evolution of space-times in 3+1 and 4+1 dimensions

Michael T. Anderson
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Abstract

A large class of vacuum space-times is constructed in dimension 4+1 from hyperboloidal initial data sets which are not small perturbations of empty space data. These space-times are future geodesically complete, smooth up to their future null infinity, and extend as vacuum space-times through their Cauchy horizon. Dimensional reduction gives non-vacuum space-times with the same properties in 3+1 dimensions.

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Michael T. Anderson. 2001-10-23. Remarks on evolution of space-times in 3+1 and 4+1 dimensions. https://doi.org/10.1088/0264-9381%2F18%2F23%2F313

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