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- W3099273068 abstract "Algebraic curvature tensors possess generators which can be formed from symmetric or alternating tensors S, A or tensors θ with an irreducible (2 1)-symmetry. In differential geometry examples of curvature formulas are known which contain generators on the basis of S or A realized by differentiable tensor fields in a natural way. We show that certain curvature formulas for stationary or static space-times contain such differentiable realizations of generators based on θ. The tensor θ is connected with the timelike Killing vector field of the space-time. θ lies in a special symmetry class from the in.nite family of irreducible (2 1)- symmetry classes. We determine characteristics of this class. In particular, this class allows a maximal reduction of the length of the curvature formulas. We use a projection formalism by Vladimirov, Young symmetrizers and Littlewood-Richardson products. Computer calculations were carried out by means of the packages Ricci and PERMS." @default.
- W3099273068 created "2020-11-23" @default.
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- W3099273068 date "2006-02-28" @default.
- W3099273068 modified "2023-10-14" @default.
- W3099273068 title "Stationary or static space-times and Young tableaux" @default.
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- W3099273068 doi "https://doi.org/10.1088/1742-6596/30/1/018" @default.
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