Existence of a Cauchy surface and compactness of causally convex hulls in a spacetime

DOI10.5269/BSPM.65472MaRDI QIDQ6596911

Himadri Shekhar Mondal, Dwaipayan Mishra

Publication date: 3 September 2024

Published in: Boletim da Sociedade Paranaense de Matemática. Terceira Série (Search for Journal in Brave)

zbMATH Keywords

causalityglobally hyperbolic spacetimeCauchy surfacetime functioncausally convex hull

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25)

Cites Work

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• Global hyperbolicity for spacetimes with continuous metrics
• On differentiability of volume time functions
• Characterization of some causality conditions through the continuity of the Lorentzian distance
• Lyapounov functions of closed cone fields: from Conley theory to time functions
• Lorentzian causality theory
• On smooth Cauchy hypersurfaces and Geroch's splitting theorem
• On smooth time functions
• Globally hyperbolic spacetimes can be defined as ‘causal’ instead of ‘strongly causal’
• Globally hyperbolic spacetimes can be defined without the ‘causal’ condition
• Causality theory for closed cone structures with applications
• Epigraph of operator functions
• Domain of Dependence
• The Large Scale Structure of Space-Time
• General Relativity

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