Determination of the metric tensor from components of the Riemann tensor
From MaRDI portal
Publication:3923216
DOI10.1088/0305-4470/14/9/027zbMath0469.53026OpenAlexW2011393188MaRDI QIDQ3923216
W. D. Halford, Colin B. G. McIntosh
Publication date: 1981
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/14/9/027
Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of local differential geometry to the sciences (53B50)
Related Items
Necessary and sufficient conditions for (i) Weyl, (ii) Riemann-Cartan connections, Sufficient conditions for a curvature tensor to be Riemannian and for determining its metric, Curvature collineations in general relativity. II, Conditions for a symmetric connection to be a metric connection, Curvature inheritance symmetry in Riemannian spaces with applications to fluid space times, Mappings of empty space-times leaving the curvature tensor invariant, Perfect fluid spacetimes admitting curvature collineations, Determination of the metric from the curvature, Geodesically equivalent metrics in general relativity, Curvature collineations for type-N Robinson-Trautman space-times, Algebraic determination of the metric from the curvature in general relativity, The significance of curvature in general relativity