Collineations of a symmetric 2-covariant tensor: Ricci collineations

DOI10.1063/1.4813475zbMath1287.83017OpenAlexW2068947656MaRDI QIDQ5407576

Josep Llosa

Publication date: 7 April 2014

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

Full work available at URL: http://hdl.handle.net/2445/46867

zbMATH Keywords

symmetry transformationcollineationsRicci collineationfinite dimensional Lie algebratype B warped spacetime

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Gravitational energy and conservation laws; groups of motions (83C40) Lie algebras of linear algebraic groups (17B45)

Related Items (9)

Homothetic Ricci collineations of non-static spherically symmetric spacetimes with perfect fluid matter ⋮ Non-static spherically symmetric spacetimes and their conformal Ricci collineations ⋮ Classification of Kantowski–Sachs metric via conformal Ricci collineations ⋮ Conformal Ricci collineations in LRS Bianchi type V spacetimes with perfect fluid matter ⋮ Classification of locally rotationally symmetric Bianchi-I space-times using conformal Ricci collineations ⋮ Homothetic Ricci collineations in non-static plane symmetric spacetimes with perfect fluid matter ⋮ Conformal collineations of the Ricci and energy-momentum tensors in static plane symmetric space-times ⋮ Homothetic matter collineations of LRS Bianchi type V spacetimes with perfect fluid source ⋮ Conformal Ricci collineations of static space-times with maximal symmetric transverse spaces

Cites Work

• Unnamed Item
• Collineations of the Ricci tensor
• Conformal symmetries and fixed points in space-time
• Curvature collineations in general relativity. II
• Collineations of Godel-type space-times
• Matter collineations: The inverse ‘‘symmetry inheritance’’ problem
• Exact Solutions of Einstein's Field Equations
• On the general structure of Ricci collineations for type B warped space–times
• Projective collineations in spacetimes
• 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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