Null distance and convergence of Lorentzian length spaces

DOI10.1007/s00023-022-01198-6OpenAlexW3170815421MaRDI QIDQ2099125

Roland Steinbauer, Michael Kunzinger

Publication date: 23 November 2022

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.05393

zbMATH Keywords

Lorentzian causality theorymanifold topology

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Synthetic differential geometry (51K10)

Related Items (11)

The null distance encodes causality ⋮ Null distance and Gromov-Hausdorff convergence of warped product spacetimes ⋮ Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions ⋮ Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds ⋮ On the space of compact diamonds of Lorentzian length spaces ⋮ A synthetic null energy condition ⋮ Gluing constructions for Lorentzian length spaces ⋮ On conformal Lorentzian length spaces ⋮ Global hyperbolicity through the eyes of the null distance ⋮ A Lorentzian analog for Hausdorff dimension and measure ⋮ Causal completions as Lorentzian pre-length spaces

Cites Work

• The intrinsic flat distance between Riemannian manifolds and other integral current spaces
• Lorentz and semi-Riemannian spaces with Alexandrov curvature bounds
• Inextendibility of spacetimes and Lorentzian length spaces
• Lorentzian length spaces
• Lorentzian causality theory
• Null distance on a spacetime
• On Lorentzian causality with continuous metrics
• Properties of the Null Distance and Spacetime Convergence
• On the causal hierarchy of Lorentzian length spaces
• Causality theory for closed cone structures with applications
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