Curvature of generic space-times in general relativity

DOI10.1063/1.527903zbMath0649.53012OpenAlexW2026697755MaRDI QIDQ3794837

Alan D. Rendall

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527903

zbMATH Keywords

classificationJacobi vector fieldsVisibility axiom

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (9)

Curvature collineations in general relativity. I ⋮ Curvature collineations in general relativity. II ⋮ Sectional curvature, symmetries, and conformally flat plane waves ⋮ Sectional curvature and tidal accelerations ⋮ Conditions for a symmetric connection to be a metric connection ⋮ Affine collineations in space-time ⋮ Spacetimes in which the Ricci equations characterize the Riemann tensor ⋮ GENERAL RELATIVITY AND SECTIONAL CURVATURE ⋮ The generic condition is generic

Cites Work

• A spinor approach to general relativity
• Sectional curvature and the determination of the metric in space-time
• Curvature collineations and the determination of the metric from the curvature in General Relativity
• Stable and generic properties in general relativity
• Stability of \(C^\infty\) mappings. II: Infinitesimal stability implies stability
• The space of Lorentz metrics
• Holonomy groups in general relativity
• The classification of the Ricci tensor in general relativity theory

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