Groups of Curvature Collineations in Riemannian Space-Times Which Admit Fields of Parallel Vectors

DOI10.1063/1.1665297zbMath0194.58604OpenAlexW1972831741WikidataQ115333944 ScholiaQ115333944MaRDI QIDQ5590739

Gerald H. Katzin, William R. Davis, Jack Levine

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1063/1.1665297

zbMATH Keywords

structure of matter

Related Items (15)

Complete classification of conformal Killing symmetries of plane-symmetric static spacetimes in teleparallel theory ⋮ Curvature collineations in general relativity. II ⋮ Unnamed Item ⋮ Symmetries of the energy–momentum tensor of spherically symmetric Lorentzian manifolds ⋮ Symmetries of the energy-momentum tensor of cylindrically symmetric static space–times ⋮ Symmetries of type D pure radiation fields ⋮ Curvature inheritance symmetry in Riemannian spaces with applications to fluid space times ⋮ The Robertson-Walker metric and the symmetries belong to the family of contracted Ricci collineations ⋮ Automorphisms in generalized spaces ⋮ Classification of cylindrically symmetric static spacetimes according to their Ricci collineations ⋮ Collineations and motions in self-gravitating magnetofluids ⋮ Curvature collineations ⋮ Einstein spaces and homothetic motions. I ⋮ Curvature collineations for type-N Robinson-Trautman space-times ⋮ The Riemann tensor, the metric tensor, and curvature collineations in general relativity

Cites Work

• Ondes et radiations électromagnétiques et gravitationelles en relativité générale. (Electromagnetic and gravitational waves and radiation in general relativity)
• 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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