The Riemann tensor, the metric tensor, and curvature collineations in general relativity

DOI10.1063/1.525366zbMath0491.53018OpenAlexW1981380512WikidataQ125002709 ScholiaQ125002709MaRDI QIDQ3952759

W. D. Halford, Colin B. G. McIntosh

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525366

zbMATH Keywords

spacetimesRiemann tensorcurvature collineations

Mathematics Subject Classification ID

Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items

Curvature collineations in general relativity. I, Curvature and conformal collineations in presence of matter, Weyl compatible tensors, The principle of equivalence and cosmological metrics, Groups of transformations of Riemannian manifolds, Spacetimes in which the Ricci equations characterize the Riemann tensor, Symmetries and geometry in general relativity, Curvature collineations and the determination of the metric from the curvature in General Relativity, Sufficiency of the Ricci equations for characterizing the Riemann tensor, The significance of curvature in general relativity, Spacetimes admitting a vector field whose inner product with the Riemann tensor is zero

Cites Work

• Riemannian-Maxwellian invertible structures in general relativity
• Curvature collineations
• Uniform Electromagnetic Field in the Theory of General Relativity
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• 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
• An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation