Some remarks on symmetries and transformation groups in general relativity

DOI10.1023/A:1026604822781zbMath0941.83010OpenAlexW1639185623WikidataQ124852192 ScholiaQ124852192MaRDI QIDQ1807328

Graham S. Hall

Publication date: 18 November 1999

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

Full work available at URL: https://doi.org/10.1023/a:1026604822781

zbMATH Keywords

symmetriesgeneral relativityLie transformation groupLie algebra of symmetry vector fieldsPalais theorem

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (8)

Homothetic motion in a Bianchi type-I model in Lyra geometry ⋮ Symmetries of the energy–momentum tensor of spherically symmetric Lorentzian manifolds ⋮ Classification of static plane symmetric space–times according to their matter collineations ⋮ Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics ⋮ Proof of the projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two ⋮ Classification and conformal symmetry in three-dimensional space–times ⋮ Complete Einstein metrics are geodesically rigid ⋮ Homothetic vector field in plane symmetric Bianchi type-I cosmological model in Lyra geometry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Manifolds, tensor analysis, and applications.
• Ricci and matter collineations in space-time
• Curvature collineations in general relativity. I
• Matter collineations: The inverse ‘‘symmetry inheritance’’ problem
• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor

This page was built for publication: Some remarks on symmetries and transformation groups in general relativity