Holonomy groups in general relativity
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Publication:3788643
DOI10.1063/1.528031zbMath0645.53012OpenAlexW2066905108MaRDI QIDQ3788643
Publication date: 1988
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528031
General relativity (83C99) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items
Space-time and holonomy groups, Curvature collineations in general relativity. I, The curvature problem in general relativity, Characterization of Riemann tensors using Ricci-type equations, Projective structure and holonomy in four-dimensional Lorentz manifolds, Homothety groups in space-time, Purely magnetic space–times, Curvature of generic space-times in general relativity, Curvature structure in general relativity, Perfect fluid spacetimes admitting curvature collineations, Affine collineations in space-time, New examples of Einstein metrics in dimension four, Variational principles for nonpotential operators, Special conformal symmetries in general relativity, Covariantly constant tensors and holonomy structure in general relativity
Cites Work
- Curvature collineations and the determination of the metric from the curvature in General Relativity
- Algebraic determination of the metric from the curvature in general relativity
- Infinitesimal holonomy groups of Einstein-Maxwell space-times
- The space of Lorentz metrics
- 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
- Gravitational waves in general relativity. VI. The outgoing radiation condition
- On the determination of the energy-momentum tensor and Weyl tensor structure from the curvature in space-time
- Curvature structure in general relativity
- The classification of the Ricci tensor in general relativity theory
- THE SUBGROUP STRUCTURE OF THE HOMOGENEOUS LORENTZ GROUP
