The upperbound of the volume expansion rate in a Lorentzian manifold

DOI10.1007/S10714-009-0860-4zbMath1185.83022OpenAlexW1975764258MaRDI QIDQ848711

Jong Ryul Kim

Publication date: 4 March 2010

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10714-009-0860-4

zbMATH Keywords

mean curvatureRaychaudhuri equationJacobi tensorvolume expansionRobertson-Walker space-timeachronal spacelike hypersurface

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Applications of differential geometry to physics (53Z05)

Related Items (1)

Volume comparison between spacelike hypersurfaces in a Lorentzian manifold with integral Ricci curvature bounds

Cites Work

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• Volume expansion rate of the Lorentzian manifold based on integral Ricci curvature over a timelike geodesic
• On conjugate and focal points in semi-Riemannian geometry
• Jacobi tensors and Ricci curvature
• Relative volume comparison with integral curvature bounds
• Distance to a focal point and singularity theorems with weak timelike convergence condition

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