The holonomy group in general relativity and the determination of \(g_{iJ}\) from \(T^{i_j}\)

DOI10.1007/BF00768531zbMath0351.53041MaRDI QIDQ1235420

Edwin C. Ihrig

Publication date: 1976

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

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items

Uniqueness of the metric from the Weyl and energy-momentum tensors, Space-time edge geometry, Mappings of empty space-times leaving the curvature tensor invariant, Groups of transformations of Riemannian manifolds, Constructing a space from the geodesic equations, Generalized geometries and scalar tensor theories, Conformal deformations, Ricci curvature and energy conditions on globally hyperbolic spacetimes, Algebraic determination of the metric from the curvature in general relativity

Cites Work

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• Mach's principle in cosmology
• Sur la réductibilité d'un espace de Riemann