Hawking's singularity theorem under a bounded integral norm of Ricci curvature

DOI10.1016/J.GEOMPHYS.2022.104708zbMath1506.53045OpenAlexW4308558938MaRDI QIDQ2107528

Seong-Hun Paeng

Publication date: 1 December 2022

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2022.104708

zbMATH Keywords

Ricci curvaturemean curvaturesingularity theorem

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20)

Cites Work

• Unnamed Item
• Volume comparison between spacelike hypersurfaces in a Lorentzian manifold with integral Ricci curvature bounds
• General relativity and conjugate ordinary differential equations
• Relative volume comparison with integral curvature bounds
• Integral curvature bounds, distance estimates and applications
• Volume comparison for hypersurfaces in Lorentzian manifolds and singularity theorems
• Relative volume comparison for asymptotically flat manifolds and rigidity of total mass
• Riemannian manifolds with positive mean curvature
• The meaning of Einstein’s equation
• Distance to a focal point and singularity theorems with weak timelike convergence condition
• The singularities of gravitational collapse and cosmology

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