A Note on Non-compact Cauchy surface
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
It is shown that if a space-time has non-compact Cauchy surface, then its topological, differentiable, and causal structure are completely determined by a class of compact subsets of its Cauchy surface. Since causal structure determines its topological, differentiable, and conformal structure of space-time, this gives a natural way to encode the corresponding structures into its Cauchy surface.
Cite
@article{arxiv.0801.2671,
title = {A Note on Non-compact Cauchy surface},
author = {Do-Hyung Kim},
journal= {arXiv preprint arXiv:0801.2671},
year = {2008}
}