Generalised time functions and finiteness of the Lorentzian distance

DOI10.1016/j.geomphys.2016.03.018zbMath1341.53044arXiv1412.5652OpenAlexW2963336558WikidataQ125618644 ScholiaQ125618644MaRDI QIDQ295748

Ben E. Whale, Adam Rennie

Publication date: 13 June 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5652

zbMATH Keywords

cones distance formulageneralised time functionsLorentzian distance

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (5)

Space and time dimensions of algebras with application to Lorentzian noncommutative geometry and quantum electrodynamics ⋮ Families of spectral triples and foliations of space(time) ⋮ Functions of time type, curvature and causality theory ⋮ Lorentzian causality theory ⋮ Causality theory for closed cone structures with applications

Cites Work

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• Global eikonal condition for Lorentzian distance function in noncommutative geometry
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• Connes duality in pseudo-Riemannian geometry
• ASPECTS OF NONCOMMUTATIVE LORENTZIAN GEOMETRY FOR GLOBALLY HYPERBOLIC SPACETIMES
• The existence of cosmic time functions
• Compact metric spaces, Fredholm modules, and hyperfiniteness

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