English

Causal completions as Lorentzian pre-length spaces

General Relativity and Quantum Cosmology 2022-09-28 v1

Abstract

In this work we revisit the notion of the (future) causal completion of a globally hyperbolic spacetime and endow it with the structure of a Lorentzian pre-length space. We further carry out this construction for a certain class of generalized Robertson-Walker spacetimes.

Keywords

Cite

@article{arxiv.2205.07148,
  title  = {Causal completions as Lorentzian pre-length spaces},
  author = {L. Ake Hau and Saul Burgos and Didier A. Solis},
  journal= {arXiv preprint arXiv:2205.07148},
  year   = {2022}
}

Comments

14 pages, 2 figures

R2 v1 2026-06-24T11:17:31.036Z