The Robertson-Walker metric and the symmetries belong to the family of contracted Ricci collineations

DOI10.1007/BF00761783zbMath0439.53043WikidataQ125625664 ScholiaQ125625664MaRDI QIDQ1142444

S. H. Smith

Publication date: 1977

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

zbMATH Keywords

conservation lawRobertson-Walker metriccontracted Ricci collineation

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (19)

Fluid space–times and conharmonic symmetries ⋮ From harmonic mappings to Ricci flows due to the Bochner technique ⋮ Ricci and matter collineations in space-time ⋮ Symmetries of the energy–momentum tensor of spherically symmetric Lorentzian manifolds ⋮ Ricci collineations of the Bianchi type II, VIII, and IX space-times ⋮ Ricci collineations for type \(B\) warped space-times ⋮ New characteristics of infinitesimal isometry and Ricci solitons ⋮ Classification of spherically symmetric static spacetimes according to their matter collineations ⋮ Deterministic Kalman filtering on semi-infinite interval ⋮ CLASSIFICATIONS OF KANTOWSKI–SACHS, BIANCHI TYPES I AND III SPACETIMES ACCORDING TO RICCI COLLINEATIONS ⋮ Symmetries of Bianchi I space–times ⋮ Checking collineation vectors with REDUCE ⋮ Topological defect solutions in the spherically symmetric space-time admitting conformal motion ⋮ Ricci and contracted Ricci collineations of the Robertson–Walker space-time ⋮ Magnetized quark and strange quark matter in the spherical symmetric space-time admitting conformal motion ⋮ Asymptotic symmetries in cosmological models ⋮ RICCI COLLINEATIONS OF THE BIANCHI TYPES I AND III, AND KANTOWSKI–SACHS SPACETIMES ⋮ Matter collineations in Kantowski-Sachs, Bianchi types I and III spacetimes ⋮ Comment on Ricci collineations for spherically symmetric space-times

Cites Work

• Conservation laws in general relativity based upon the existence of preferred collineations
• Curvature collineations in certain gravitational space-times
• On some new principles of classifying geometries
• 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
• Unnamed Item

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