Killing pairs constructed from a recurrent vector field

DOI10.1007/BF02105321zbMath0830.53065OpenAlexW1975574437MaRDI QIDQ1898676

C. D. Collinson, Estelita Da Grace Lopes Rodrigues Vaz

Publication date: 28 January 1996

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

Full work available at URL: https://doi.org/10.1007/bf02105321

zbMATH Keywords

conservation lawsfirst integralKilling pairs

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)

Related Items (3)

Geometry of generalized Ricci-type solitons on a class of Riemannian manifolds ⋮ Ricci solitons on Riemannian manifolds admitting certain vector field ⋮ Killing pairs in flat space

Cites Work

• Unnamed Item
• Some canonical forms for the metric of spacetimes admitting a rational first integral of the geodesic equation
• Killing tensors and the separation of the Hamilton-Jacobi equation
• Killing pairs and the empty space field equations
• Covariantly constant tensors and holonomy structure in general relativity
• CANONICAL FORM FOR A RIEMANNIAN SPACE WITH A PARALLEL FIELD OF NULL PLANES
• CANONICAL FORMS (II): PARALLEL PARTIALLY NULL PLANES

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