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Einstein Tensor and Spherical Symmetry

Journal of Mathematical Physics, 1968
The classification of symmetric second-rank tensors in Minkowski space and its application to the Einstein tensor is reviewed. It is shown that, for spherically symmetric metrics, the Einstein tensor always has a spacelike double eigenvector; and the possible types of Einstein tensor that this degeneracy allows are discussed.
J. Plebański, J. Stachel
semanticscholar   +2 more sources

Appendix A: Einstein Tensor

, 2018
We provide some useful formulas explicitly to obtain the Einstein tensor as a convenience to readers. We also establish our notation in tensor calculus.
M. Hashimoto   +3 more
semanticscholar   +2 more sources

The four-dimensionality of space and the einstein tensor

Journal of Mathematical Physics, 1972
All tensors of contravariant valency two, which are divergence free on one index and which are concomitants of the metric tensor, together with its first two derivatives, are constructed in the four-dimensional case. The Einstein and metric tensors are the only possibilities.
D. Lovelock
semanticscholar   +3 more sources

Computation of the Einstein tensor with FORMAC

Computer Physics Communications, 1972
Abstract The Einstein tensor can be derived from the covariant metric tensor. However, if the metric components are complicated functions of the coordinates or the metric is not orthogonal then the derivation by hand can be quite tedious. In this paper a FORMAC program is described which provides automatic computation of the Einstein tensor.
A. D. Payne
semanticscholar   +2 more sources

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