Enveloping space of a globally hyperbolic conformally flat spacetime
Differential Geometry
2023-11-30 v1 Mathematical Physics
math.MP
Abstract
We prove that any simply-connected globally hyperbolic conformally flat spacetime V can be conformally embedded in a bigger conformally flat spacetime, called enveloping space of V , containing all the conformally flat Cauchy-extensions of V , in particular its C 0-maximal extension. As a result, we establish a new proof of the existence and the uniqueness of the C 0-maximal extension of a globally hyperbolic conformally flat spacetime. Furthermore, this approach allows us to prove that C 0-maximal extensions respect inclusion.
Cite
@article{arxiv.2311.17802,
title = {Enveloping space of a globally hyperbolic conformally flat spacetime},
author = {Rym Smaï},
journal= {arXiv preprint arXiv:2311.17802},
year = {2023}
}