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.

arXiv comment14 pages, 2 figures

References in corpus (18)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• The causal set approach to quantum gravity
• Causality theory for closed cone structures with applications
• On Lorentzian causality with continuous metrics
• A new recipe for causal completions
• Timelike completeness as an obstruction to $C^0$-extensions
• Inextendibility of spacetimes and Lorentzian length spaces
• Null distance and convergence of Lorentzian length spaces
• Universality of the Future Chronological Boundary
• On the causal hierarchy of Lorentzian length spaces
• The causal boundary of product spacetimes
• Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds
• Aspects of $C^0$ causal theory
• Causal boundaries and holography on wave type spacetimes
• Comparison theorems for Lorentzian length spaces with lower timelike curvature bounds
• Causality theory of spacetimes with continuous Lorentzian metrics revisited
• Gluing constructions for Lorentzian length spaces
• Computability of the causal boundary by using isocausality