A domain of spacetime intervals in general relativity

Abstract

Beginning from only a countable dense set of events and the causality relation, it is possible to reconstruct a globally hyperbolic spacetime in a purely order theoretic manner. The ultimate reason for this is that globally hyperbolic spacetimes belong to a category that is equivalent to a special category of domains called interval domains.

25 pages

References in corpus (2)

• Spacetime topology from causality
• Compactness of the space of causal curves

Cited by in corpus (9)

• Causal categories: relativistically interacting processes
• A review of Lorentzian synthetic theory of timelike Ricci curvature bounds
• Space in Monoidal Categories
• K-Causal Structure of Space-Time in General Relativity
• Compactness of the space of causal curves
• An arithmetic topos for integer matrices
• Manifold-Topology from K-Causal Order
• Causal Cones, Cone Preserving Transformations and Causal Structure in Special and General Theory of Relativity
• On Global Hyperbolicity of Spacetimes: Topology Meets Functional Analysis