On the causal hierarchy of Lorentzian length spaces

DOI10.1088/1361-6382/abb25fzbMath1479.83258arXiv2003.03451OpenAlexW3098259173MaRDI QIDQ5162390

Armando J. Cabrera Pacheco, Didier A. Solis, Luis Aké Hau

Publication date: 2 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.03451

zbMATH Keywords

Lorentzian length spacescausal hierarchydistance homothetic maps

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Causal inference from observational studies (62D20)

Related Items (17)

The null distance encodes causality ⋮ Remarks on the cosmological constant appearing as an initial condition for Milne-like spacetimes ⋮ The c-completion of Lorentzian metric spaces ⋮ The splitting theorem for globally hyperbolic Lorentzian length spaces with non-negative timelike curvature ⋮ The singularity theorems of general relativity and their low regularity extensions ⋮ Further observations on the definition of global hyperbolicity under low regularity ⋮ Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds ⋮ On the space of compact diamonds of Lorentzian length spaces ⋮ Gluing of Lorentzian length spaces and the causal ladder ⋮ On the asymptotic assumptions for Milne-like spacetimes ⋮ Gluing constructions for Lorentzian length spaces ⋮ On conformal Lorentzian length spaces ⋮ Causality theory of spacetimes with continuous Lorentzian metrics revisited ⋮ A Lorentzian analog for Hausdorff dimension and measure ⋮ Comparison theorems for Lorentzian length spaces with lower timelike curvature bounds ⋮ Causal completions as Lorentzian pre-length spaces ⋮ Null distance and convergence of Lorentzian length spaces

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