obtained from the Riemann tensor by subtracting a tensor that is a linear expression in the Ricci tensor. In general relativity, the Weyl curvature is the only...
10 KB (1,742 words) - 17:55, 29 January 2024
the Weyl tensor and Ricci tensor do not in general determine the full curvature tensor, the Riemann curvature tensor can be decomposed into a Weyl part...
12 KB (2,081 words) - 08:36, 19 August 2024
Wigner–Weyl transform, for another definition of the Weyl transform. In theoretical physics, the Weyl transformation, named after Hermann Weyl, is a local...
3 KB (697 words) - 10:21, 17 October 2023
The Lanczos tensor or Lanczos potential is a rank 3 tensor in general relativity that generates the Weyl tensor. It was first introduced by Cornelius...
12 KB (1,924 words) - 19:16, 18 February 2024
semimetal Weyl sequence Weyl spinor Weyl representation Weyl sum, a type of exponential sum Weyl symmetry: see Weyl transformation Weyl tensor Weyl transform...
4 KB (272 words) - 12:27, 22 March 2023
vanishing of the Weyl tensor, while the Cotton tensor just becomes a constant times the divergence of the Weyl tensor. For n < 3 the Cotton tensor is identically...
6 KB (1,003 words) - 17:22, 28 December 2023
The Weyl tensor has the same basic symmetries as the Riemann tensor, but its 'analogue' of the Ricci tensor is zero: W i j k l = −...
20 KB (5,396 words) - 11:47, 29 September 2024
Petrov classification (category Tensors in general relativity)
classification) describes the possible algebraic symmetries of the Weyl tensor at each event in a Lorentzian manifold. It is most often applied in studying...
17 KB (2,699 words) - 02:03, 25 May 2024
In mathematics, tensor calculus, tensor analysis, or Ricci calculus is an extension of vector calculus to tensor fields (tensors that may vary over a manifold...
13 KB (1,906 words) - 17:49, 5 July 2024
two vectors is sometimes called an elementary tensor or a decomposable tensor. The elementary tensors span V ⊗ W {\displaystyle V\otimes W} in the sense...
50 KB (8,651 words) - 19:03, 15 August 2024