Space-time and holonomy groups

DOI10.1007/BF02105081zbMath0828.53056OpenAlexW2047302398MaRDI QIDQ1893828

Graham S. Hall

Publication date: 18 December 1995

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

Full work available at URL: https://doi.org/10.1007/bf02105081

zbMATH Keywords

holonomy groupLorentz groupvacuum space-time

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

• Unnamed Item
• Infinitesimal holonomy groups of Einstein-Maxwell space-times
• Connections and symmetries in spacetime
• Classification of Four-Dimensional Riemannian Spaces
• Some Applications of the Infinitesimal-Holonomy Group to the Petrov Classification of Einstein Spaces
• Einstein Spaces With Four-Parameter Holonomy Groups
• Covariantly constant tensors and holonomy structure in general relativity
• Holonomy groups in general relativity
• The continuous determination of spacetime geometry by the Riemann curvature tensor

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