Remarks on evolution of space-times in 3+1 and 4+1 dimensions
arXiv:gr-qc/0106061 · doi:10.1088/0264-9381/18/23/313
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.
10pp, exposition improved; final version