Causal completions as Lorentzian pre-length spaces

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.

14 pages, 2 figures

References in corpus (5)

• Null distance and convergence of Lorentzian length spaces
• The causal boundary of product spacetimes
• Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds
• Comparison theorems for Lorentzian length spaces with lower timelike curvature bounds
• Gluing constructions for Lorentzian length spaces