REMARKS ON EVOLUTION OF SPACE-TIMES IN 3+1 AND 4+1
DIMENSIONS
MICHAEL T. ANDERSON
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 I+, and ex*
*tend as vacuum space-times