Some necessary and sufficient conditions for admitting a continuous sphere order representation of two-dimensional space-times

DOI10.1063/1.4761822zbMath1278.83037OpenAlexW2095166659MaRDI QIDQ2872405

Yousef Bahrampour, Mehdi Vatandoost

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4761822

zbMATH Keywords

causal order

Mathematics Subject Classification ID

Partial orders, general (06A06) General relativity (83C99) Convex sets in (2) dimensions (including convex curves) (52A10) Physics (00A79) Minkowski geometries in nonlinear incidence geometry (51B20) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (2)

Continuous representation of a globally hyperbolic spacetime with non-compact Cauchy surfaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Sphere orders
• A short proof that \(N^ 3\) is not a circle containment order
• Geometric containment orders: A survey
• Finite three-dimensional partial orders which are not sphere orders
• Continuous causal representation of space–time via sphere orderings
• Sphere orderings representation of space-time
• The space of causal curves and separation axioms
• Spaces of causal paths and naked singularities
• An imbedding of Lorentzian manifolds
• The geometry of the space of null geodesics
• A new topology for curved space–time which incorporates the causal, differential, and conformal structures
• Twistor linking and causal relations
• A causal order for spacetimes with Lorentzian metrics: proof of compactness of the space of causal curves
• The Large Scale Structure of Space-Time

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