Covariantly constant tensors and holonomy structure in general relativity

DOI10.1063/1.529114zbMath0731.53024OpenAlexW2051033997MaRDI QIDQ3357024

Graham S. Hall

Publication date: 1991

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529114

zbMATH Keywords

holonomy groupspace-timestensor fieldsrecurrentcovariantly constant

Mathematics Subject Classification ID

General relativity (83C99) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (11)

Space-time and holonomy groups ⋮ Killing pairs constructed from a recurrent vector field ⋮ Geometrical aspects and generalizations of Newton-Cartan mechanics ⋮ Affine collineations in general relativity and their fixed point structure ⋮ A new form of Einstein’s equations ⋮ Incorporation of space–time symmetries in Einstein’s field equations ⋮ Affine collineations in Einstein-Maxwell space-times ⋮ Double gauge invariance and covariantly-constant vector fields in Weyl geometry ⋮ Irreducible decomposition of Einstein's equations in spacetimes with symmetries ⋮ Some remarks on wave solutions in general relativity theory ⋮ Regularized Lienard-Wiechert fields in a space with torsion

Cites Work

• Infinitesimal holonomy groups of Einstein-Maxwell space-times
• Connections and symmetries in spacetime
• Local and global algebraic structures in general relativity
• Classification of Four-Dimensional Riemannian Spaces
• Holonomy groups in general relativity
• Affine collineations in space-time
• The global extension of local symmetries in general relativity
• The classification of the Ricci tensor in general relativity theory
• THE SUBGROUP STRUCTURE OF THE HOMOGENEOUS LORENTZ GROUP

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