Abstract
In this paper it is shown that a Lanczos potential for the Weyl curvature tensor does not exist for all spaces of dimension n ≥ 7.
REFERENCES
Lanczos, C. (1962). Rev. Mod. Phys. 34, 379–389.
Bampi, F. and Caviglia, G. (1983). Gen. Rel. Grav. 15, 375–386.
Illge, R. (1988). Gen. Rel. Grav. 20, 551–564.
Andersson, F. and Edgar, S. B. (2001). Class. Quant. Grav. 18, 2297–2304.
Edgar, S. B. and Höglund, A. (2000). Gen. Rel. Grav. 32, 2307–2318.
Edgar, S. B. and Höglund, A. (1997). Proc. R. Soc. London, Ser. A 453, 835–851.
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Edgar, S.B., Höglund, A. Letter: The Non-Existence of a Lanczos Potential for the Weyl Curvature Tensor in Dimensions n ≥ 7. General Relativity and Gravitation 34, 2149–2153 (2002). https://doi.org/10.1023/A:1021143703760
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DOI: https://doi.org/10.1023/A:1021143703760