Energy density and spatial curvature in general relativity

DOI10.1063/1.524961zbMath0483.76135OpenAlexW2001412906WikidataQ124851539 ScholiaQ124851539MaRDI QIDQ3942688

Gregory J. Galloway, Theodore Frankel

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524961

zbMATH Keywords

stationaryconditions for compactness of hyper-surfacesenergy density related to curvature of spatial hypersurfacefluid masses with finite mass distribution

Mathematics Subject Classification ID

General relativity (83C99) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Gravitational waves (83C35) Axiomatics, foundations (70A05)

Related Items (6)

Compactness Criteria for Riemannian Manifolds ⋮ Stable minimal surfaces and spatial topology in general relativity ⋮ Compactness in weighted manifolds and applications ⋮ The topology of geodesically complete space-times ⋮ Some compactness results by elliptic operators ⋮ Compactness theorems for the Bakry-Emery Ricci tensor on semi-Riemannian manifolds

Cites Work

• A theorem of Myers
• Riemannian manifolds with positive mean curvature

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