A closure result for globally hyperbolic spacetimes

DOI10.1090/PROC/16969MaRDI QIDQ6658176

Alberto Roncoroni, Giovanni Catino

Publication date: 8 January 2025

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

globally hyperbolic spacetimesMyers type theoremHubble parameters

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Two rigidity theorems on manifolds with Bakry-Emery Ricci curvature
• Comparison geometry for the Bakry-Emery Ricci tensor
• On complete minimal surfaces with finite Morse index in three manifolds
• Eigenvalue comparison theorems and its geometric applications
• Some geometric properties of the Bakry-Émery-Ricci tensor
• Global aspects of the Cauchy problem in general relativity
• Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
• Riemannian Geometry
• A Weyl entropy of pure spacetime regions
• Stable constant mean curvature hypersurfaces
• The Large Scale Structure of Space-Time
• The topology of general cosmological models*
• Two rigidity results for stable minimal hypersurfaces

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