The Lanczos potential for Weyl-candidate tensors exists only in four dimensions

General Relativity and Gravitation

Volumn 32, Issue 12, 2000, Pages 2307-2318

  Edgar, S Brian ^a   Hoglund A ^a  

^a LINKÖPING UNIVERSITY   (Sweden)

Author keywords

Existence; Lanczos potential; Tensor identities

Indexed keywords

EID: 0034349292     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1001951609641     Document Type: Article

References (9)

1. 1. Andersson, F., and Edgar, S. Brian (1999). Local existence of spinor potentials. Preprint, gr-qc/990208.
2. 2. Bampi, F., and Caviglia, G., (1983). Third-Order Tensor Potentials for the Riemann and Weyl Tensors. Gen. Rel. Grav. 15, 375-386.
3. 3. Edgar, S. Brian. (1994a). The wave equations for the Lanczos tensor/spinor, and a new tensor identity. Mod. Phys. Lett. A 9, 479-482.
4. 4. Edgar, S. Brian. (1994b). Non-existence of the Lanczos potential for the Riemann tensor in higher dimensions. Gen. Rel. Grav. 26, 329-332.
5. 5. Edgar, S. Brian, and Höglund, A. (1997). The Lanczos potential for the Weyl curvature tensor: existence, wave equation and algorithms. Proc. Roy. Soc. Lond. A 453, 835-851.
6. 6. Illge, R. (1988). On Potentials for Several Classes of Spinor and Tensor Fields in Curved Space-times. Gen. Rel. Grav. 20, 551-564.
7. 7. Lanczos, C. (1962). The Splitting of the Riemann Tensor. Rev. Mod. Phys. 34, 379-389.
8. 8. Lovelock, D. (1970). Dimensionally dependent identities. Proc. Camb. Phil. Soc. 68, 345-350.
9. 9. Roberts, M. D. (1989). Dimensional reduction and the Lanczos tensor. Mod. Phys. Lett. A 4, 2739-2746.