Sufficient conditions for a curvature tensor to be Riemannian and for determining its metric
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Publication:3981663
DOI10.1063/1.529376zbMath0737.53021OpenAlexW2033429420WikidataQ115331443 ScholiaQ115331443MaRDI QIDQ3981663
Publication date: 26 June 1992
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.529376
Related Items (7)
Necessary and sufficient conditions for (i) Weyl, (ii) Riemann-Cartan connections ⋮ Metrics compatible with a symmetric connection in dimension three ⋮ Conditions for a symmetric connection to be a metric connection ⋮ Some remarks on metric and Weyl connections ⋮ Determination of the metric from the curvature ⋮ Space-time constructivism \textit{vs.} modal provincialism: Or, how special relativistic theories needn't show Minkowski chronogeometry ⋮ Space-time philosophy reconstructed \textit{via} massive Nordström scalar gravities? Laws \textit{vs.} geometry, conventionality, and underdetermination
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
- Connections and symmetries in spacetime
- Mappings of empty space-times leaving the curvature tensor invariant
- The uniqueness of \(g_{ij}\) in terms of \(R^l_{ijk}\)
- Insufficiency of the Ricci and Bianchi identities for characterising curvature
- Conditions on a connection to be a metric connection
- An Approach to Gravitational Radiation by a Method of Spin Coefficients
- Determination of the metric tensor from components of the Riemann tensor
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