Isocausal spacetimes may have different causal boundaries
Mathematical Physics
2015-05-27 v2 General Relativity and Quantum Cosmology
Differential Geometry
math.MP
Abstract
We construct an example which shows that two isocausal spacetimes, in the sense introduced by Garc\'ia-Parrado and Senovilla, may have c-boundaries which are not equal (more precisely, not equivalent, as no bijection between the completions can preserve all the binary relations induced by causality). This example also suggests that isocausality can be useful for the understanding and computation of the c-boundary.
Cite
@article{arxiv.1103.2083,
title = {Isocausal spacetimes may have different causal boundaries},
author = {J. L. Flores and J. Herrera and M. Sanchez},
journal= {arXiv preprint arXiv:1103.2083},
year = {2015}
}
Comments
Minor modifications, including the title, which matches now with the published version. 12 pages, 3 figures