Curvature collineations in general relativity. II

DOI10.1063/1.529076zbMath0745.53020OpenAlexW4256002952MaRDI QIDQ3987309

No author found.

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529076

zbMATH Keywords

curvature tensorspace-timecurvature collineationscurvature preserving transformationcurvature type

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (14)

PROPER CURVATURE COLLINEATIONS IN KANTOWSKI–SACHS AND BIANCHI TYPE III SPACETIMES ⋮ Symmetries of the energy-momentum tensor of cylindrically symmetric static space–times ⋮ Symmetries of Energy-Momentum Tensor: Some Basic Facts ⋮ TELEPARALLEL KILLING VECTORS OF THE EINSTEIN UNIVERSE ⋮ Unnamed Item ⋮ Pseudosymmetry collineations ⋮ 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 ⋮ Symmetries of Bianchi I space–times ⋮ Collineations of a symmetric 2-covariant tensor: Ricci collineations ⋮ Energy Conditions and Conservation Laws in LRS Bianchi Type I Spacetimes via Noether Symmetries ⋮ PROPER CURVATURE COLLINEATIONS IN NONSTATIC SPHERICALLY SYMMETRIC SPACE–TIMES ⋮ Positive energy condition and conservation laws in Kantowski-Sachs spacetime via Noether symmetries ⋮ Symmetry inheritance in Riemannian manifolds with physical applications

Cites Work

• Curvature collineations and the determination of the metric from the curvature in General Relativity
• Curvature collineations for type-N Robinson-Trautman space-times
• Algebraic determination of the metric from the curvature in general relativity
• Curvature and conformal collineations in presence of matter
• Local and global algebraic structures in general relativity
• Curvature of generic space-times in general relativity
• Curvature structure in general relativity
• Affine collineations in space-time
• Determination of the metric tensor from components of the Riemann tensor
• Curvature collineations in general relativity. I
• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor
• Groups of Curvature Collineations in Riemannian Space-Times Which Admit Fields of Parallel Vectors

This page was built for publication: Curvature collineations in general relativity. II