Symmetries and geometry in general relativity

DOI10.1016/0926-2245(91)90020-AzbMath0725.53028WikidataQ115362816 ScholiaQ115362816MaRDI QIDQ2276770

Graham S. Hall

Publication date: 1991

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

collineationscurvature symmetriesmetric symmetries

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (7)

Ricci collineations on 3-dimensional paracontact metric manifolds ⋮ Reeb flow symmetry on 3-dimensional almost paracosymplectic manifolds ⋮ Conformal vector fields on pseudo-Riemannian spaces ⋮ Conformal vector fields for some vacuum classes of pp-waves space-times in ghost free infinite derivative gravity ⋮ Conformal vector fields on spacetimes ⋮ Conformal Ricci collineations of space-times ⋮ Classification of proper teleparallel conformal symmetry of spherically symmetric static spacetimes using diagonal tetrads

Cites Work

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• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor
• A global formulation of the Lie theory of transformation groups
• Limits of spacetimes

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