Spacetimes in which the Ricci equations characterize the Riemann tensor

DOI10.1007/BF00674400zbMath0777.53023WikidataQ126162846 ScholiaQ126162846MaRDI QIDQ1209241

S. Brian Edgar

Publication date: 16 May 1993

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

Riemann tensorPetrov algebraic types

Mathematics Subject Classification ID

General relativity (83C99) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (1)

Characterization of Riemann tensors using Ricci-type equations

Cites Work

• Unnamed Item
• Sufficiency of the Ricci equations for characterizing the Riemann tensor
• Insufficiency of the Ricci and Bianchi identities for characterising curvature
• 'Degenerate' nondegenerate spacetime metrics
• The continuous determination of spacetime geometry by the Riemann curvature tensor
• Curvature of generic space-times in general relativity
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• The Riemann tensor, the metric tensor, and curvature collineations in general relativity
• Principal null directions of Petrov type I Weyl spinors: geometry and symmetry
• The classification of the Ricci tensor in general relativity theory

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