Lanczos tensor
Rank-3 tensor in general relativity associated with gauge fields / From Wikipedia, the free encyclopedia
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The Lanczos tensor or Lanczos potential is a rank 3 tensor in general relativity that generates the Weyl tensor.[1] It was first introduced by Cornelius Lanczos in 1949.[2] The theoretical importance of the Lanczos tensor is that it serves as the gauge field for the gravitational field in the same way that, by analogy, the electromagnetic four-potential generates the electromagnetic field.[3][4]