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]
- ^ Hyôitirô Takeno, "On the spintensor of Lanczos", Tensor, 15 (1964) pp. 103–119.
- ^ Lanczos, Cornelius (1949-07-01). "Lagrangian Multiplier and Riemannian Spaces". Reviews of Modern Physics. 21 (3). American Physical Society (APS): 497–502. Bibcode:1949RvMP...21..497L. doi:10.1103/revmodphys.21.497. ISSN 0034-6861.
- ^ P. O’Donnell and H. Pye, "A Brief Historical Review of the Important Developments in Lanczos Potential Theory", EJTP, 7 (2010) pp. 327–350. www
.ejtp .com /articles /ejtpv7i24p327 .pdf - ^ Novello, M.; Velloso, A. L. (1987). "The connection between general observers and Lanczos potential". General Relativity and Gravitation. 19 (12). Springer Science and Business Media LLC: 1251–1265. Bibcode:1987GReGr..19.1251N. doi:10.1007/bf00759104. ISSN 0001-7701. S2CID 122998917.
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