Myers and Hawking theorems: geometry for the limits of the universe

DOI10.1007/s00032-015-0241-2zbMath1332.53050OpenAlexW1031051585MaRDI QIDQ901834

Pablo Morales Álvarez, Miguel Sánchez

Publication date: 6 January 2016

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-015-0241-2

zbMATH Keywords

positive Ricci curvaturefocal pointssingularity theoremsexpanding hypersurfaceseparating and Cauchy hypersurfacestime-like convergence

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Global Riemannian geometry, including pinching (53C20)

Related Items (3)

On the Completeness of Trajectories for Some Mechanical Systems ⋮ The singularity theorems of general relativity and their low regularity extensions ⋮ Some compactness results by elliptic operators

Cites Work

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• Singularity theorems based on trapped submanifolds of arbitrary co-dimension
• A probabilistic view on singularities
• The 1965 Penrose singularity theorem
• Domain of Dependence
• The Large Scale Structure of Space-Time

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