Showing papers on "Four-tensor published in 1966"
TL;DR: In this article, a symmetric tensor for a medium with internal angular momentum is considered, and the contribution to the linear momentum of a distribution of internal momentum is taken into account.
27 citations
TL;DR: The relativistic energy-momentum tensor of the electromagnetic field was derived from electron theory and compared with the forms proposed by Abraham and Minkowski as mentioned in this paper, which is a form similar to the one proposed in this paper.
8 citations
TL;DR: In this article, the graphical separation of the physical and geometrical parts of the matrix elements was used for irreducible tensor operators with only some slight modifications to the graphical methods for spherical harmonics.
7 citations
TL;DR: In this paper, it was shown that in the theory of general relativity integral conservation laws can be obtained from a vanishing covariant divergence of a tensor in a completely covariant form.
Abstract: It is demonstrated that in the theory of general relativity integral conservation laws can be obtained from a vanishing covariant divergence of a tensor in a completely covariant form. This is achieved by introducing into tensor calculus a new operation, namely, tensor integration which is defined as an inverse of tensor differentiation. In particular, a one‐dimensional absolute integration of a tensor along a curve is defined as an inverse operation to the same type of differentiation. A representation of absolute integration is developed by a perturbation method as an infinite series where each term consists of ordinary integrations only. As an example of absolute integration, a vector field is obtained whose components can be employed as a coordinate frame having a very close resemblance to the Riemannian coordinates. Covariant integration is then introduced as an inverse of covariant differentiation; however, its usefulness is severely limited by the conditions of integrability which have to be satisf...
1 citations