Homothety groups in space-time

DOI10.1007/BF00756209zbMath0698.53012WikidataQ125989397 ScholiaQ125989397MaRDI QIDQ912401

Graham S. Hall, John D. Steele

Publication date: 1990

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

zbMATH Keywords

affine vector fieldshomothetic vector fieldsLorentzian space-times

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (8)

Homotheties of a class of spherically symmetric space-time admitting \(G_3\) as maximal isometry group ⋮ A note on teleparallel Killing symmetries in three dimensional circularly symmetric static spacetime ⋮ Space-times admitting a three-dimensional conformal group ⋮ A note on proper conformal vector fields of Bianchi type-I perfect fluid space-times in f(R,T) gravity ⋮ Simply-transitive homothety groups ⋮ Affine collineations in Einstein-Maxwell space-times ⋮ Symmetries and geometry in general relativity ⋮ Exact solutions for space-times admitting non-null special conformal Killing vectors

Cites Work

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• Homothetic transformations with fixed points in spacetime
• Proper homothetic maps and fixed points
• Symmetries of the nontwisting type-N solutions with cosmological constant
• Singularities in self-similar spacetimes
• Singularities and homothety groups in spacetime
• Holonomy groups in general relativity
• Curvature structure in general relativity
• Affine collineations in space-time
• The global extension of local symmetries in general relativity

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