Causal and conformal structures of globally hyperbolic spacetimes
Differential Geometry
2015-12-09 v1 Mathematical Physics
math.MP
Abstract
The group of conformal diffeomorphisms and the group of causal automorphisms on two-dimensional globally hyperbolic spacetimes are clarified. It is shown that if spacetimes have non-compact Cauchy surfaces, then the groups are subgroups of that of two-dimensional Minkowski spacetime, and if spacetimes have compact Cauchy surfaces, then the groups are subgroups of that of two-dimensional Einstein's static universe.
Keywords
Cite
@article{arxiv.1501.06979,
title = {Causal and conformal structures of globally hyperbolic spacetimes},
author = {Do-Hyung Kim},
journal= {arXiv preprint arXiv:1501.06979},
year = {2015}
}