An imbedding of spacetimes
Mathematical Physics
2015-12-09 v1 General Relativity and Quantum Cosmology
Differential Geometry
math.MP
Abstract
It is shown that any two-dimensional spacetimes with compact Cauchy surfaces can be causally isomorphically imbedded into the two-dimensional Einstein's static universe. Also, it is shown that any two-dimensional globally hyperbolic spacetimes are conformally equivalent to a subset of the two-dimensional Einstein's static universe.
Cite
@article{arxiv.1501.04583,
title = {An imbedding of spacetimes},
author = {Do-Hyung Kim},
journal= {arXiv preprint arXiv:1501.04583},
year = {2015}
}