The global extension of local symmetries in general relativity

DOI10.1088/0264-9381/6/2/009zbMath0662.53052OpenAlexW2071456893MaRDI QIDQ3811316

Graham S. Hall

Publication date: 1989

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/6/2/009

zbMATH Keywords

symmetryextensionconformal Killing vector fieldsaffine vector field

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

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Curvature collineations in general relativity. I ⋮ Geometrical aspects and generalizations of Newton-Cartan mechanics ⋮ Symmetries in 4-dimensional manifolds ⋮ Conformal symmetries and fixed points in space-time ⋮ On distinguished local coordinates for locally homogeneous affine surfaces ⋮ Homogeneous Ricci almost solitons ⋮ Three-dimensional homogeneous Lorentzian Yamabe solitons ⋮ Weyl manifolds and connections ⋮ Affine collineations in general relativity and their fixed point structure ⋮ Homothety groups in space-time ⋮ Some remarks on metric and Weyl connections ⋮ Affine Killing vector fields on homogeneous surfaces with torsion ⋮ On linearised vacuum constraint equations on Einstein manifolds* ⋮ Symmetries and geometry in general relativity ⋮ Special conformal symmetries in general relativity ⋮ Covariantly constant tensors and holonomy structure in general relativity ⋮ Symmetries in 4-dimensional manifolds with metric of neutral signature ⋮ Spacetimes with continuous linear isotropies. I: Spatial rotations ⋮ Spacetimes with continuous linear isotropies. II: Boosts ⋮ Symmetry inheritance in Riemannian manifolds with physical applications

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