An imbedding of spacetimes
arXiv:1501.04583 · doi:10.1016/j.geomphys.2015.09.003
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.