Remarks on evolution of space-times in 3+1 and 4+1 dimensions
General Relativity and Quantum Cosmology
2009-11-07 v3 Differential Geometry
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.
Keywords
Cite
@article{arxiv.gr-qc/0106061,
title = {Remarks on evolution of space-times in 3+1 and 4+1 dimensions},
author = {Michael T. Anderson},
journal= {arXiv preprint arXiv:gr-qc/0106061},
year = {2009}
}
Comments
10pp, exposition improved; final version