The limit space of a Cauchy sequence of globally hyperbolic spacetimes
Abstract
In this second paper, I construct a limit space of a Cauchy sequence of globally hyperbolic spacetimes. In the second section, I work gradually towards a construction of the limit space. I prove the limit space is unique up to isometry. I als show that, in general, the limit space has quite complicated causal behaviour. This work prepares the final paper in which I shall study in more detail properties of the limit space and the moduli space of (compact) globally hyperbolic spacetimes (cobordisms). As a fait divers, I give in this paper a suitable definition of dimension of a Lorentz space in agreement with the one given by Gromov in the Riemannian case.
Keywords
Cite
@article{arxiv.gr-qc/0308075,
title = {The limit space of a Cauchy sequence of globally hyperbolic spacetimes},
author = {Johan Noldus},
journal= {arXiv preprint arXiv:gr-qc/0308075},
year = {2009}
}
Comments
31 pages, 5 figures, submitted to Classical and Quantum gravity, seriously improved presentation