Metric completeness of \(C(p,q)\) in a globally hyperbolic spacetime

DOI10.1134/S0202289314020029zbMath1338.83030OpenAlexW2043593853WikidataQ125968583 ScholiaQ125968583MaRDI QIDQ280822

Himadri Shekhar Mondal, Binayak S. Choudhury

Publication date: 10 May 2016

Published in: Gravitation \& Cosmology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0202289314020029

zbMATH Keywords

causalityLorentzian manifoldglobally hyperbolic spacetimemetric completeness

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Equations of motion in general relativity and gravitational theory (83C10)

Cites Work

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• On smooth Cauchy hypersurfaces and Geroch's splitting theorem
• Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
• Spaces of causal paths and naked singularities
• Limit curve theorems in Lorentzian geometry
• Domain of Dependence
• The Large Scale Structure of Space-Time
• General Relativity

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