Constants of motion of geodesics equations. Examples

DOI10.1007/BF00658134zbMath0790.53069MaRDI QIDQ1318303

Alberto Patino

Publication date: 27 March 1994

Published in: Astrophysics and Space Science (Search for Journal in Brave)

zbMATH Keywords

Kimura metrics\(pp\)-wavesGödel's cosmological solutionnon-Noetherian symmetries

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)

Cites Work

• The verification of Killing tensor components for metrics in general relativity using the computer algebra system SHEEP
• Homogeneity of Riemannian space-times of Gödel type
• Symmetries and conserved quantities in geodesic motion
• An example of affine collineation in the Robertson–Walker metric
• Affine collineations in Robertson–Walker space-time
• Collineations of Godel-type space-times

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