Perfect fluid spacetimes admitting curvature collineations

DOI10.1007/BF00756866zbMath0737.53067MaRDI QIDQ1179559

J. Carot, José Mir Justino da Costa

Publication date: 26 June 1992

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

zbMATH Keywords

perfect fluidequation of stateRiemann tensorcurvature collineations

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

PROPER CURVATURE COLLINEATIONS IN KANTOWSKI–SACHS AND BIANCHI TYPE III SPACETIMES ⋮ A note on proper curvature collineations in Bianchi type VIII and IX space-times ⋮ A note on proper curvature symmetry in general cylindrically symmetric four-dimensional Lorentzian manifolds ⋮ PROPER CURVATURE COLLINEATIONS IN NONSTATIC SPHERICALLY SYMMETRIC SPACE–TIMES

Cites Work

• Unnamed Item
• Curvature collineations and the determination of the metric from the curvature in General Relativity
• Algebraic determination of the metric from the curvature in general relativity
• Connections and symmetries in spacetime
• Local and global algebraic structures in general relativity
• Holonomy groups in general relativity
• Determination of the metric tensor from components of the Riemann tensor
• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor

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