Abstract
The spin coefficient form of the Weyl–Lanczos equations is analysed for the Schwarzschild space-time. The solution obtained yields an alternative form of Lanczos coefficients to the one currently known for this particular metric.
References
Lan czos, C. (1962). Rev. Mod. Phys. 34, 379.
Takeno, H. (1964). Tensor, N.S. 15, 103.
Bampi, F. and Caviglia, G. (1983). Gen. Rel. Grav. 15, 375.
Illge, R. (1988). Gen. Rel. Grav. 20, 551.
Edgar, S. B. and Höglund, A. (2000). Gen. Rel. Grav. 32, 2307.
Maher, W. F. and Zund, J. D. (1968). Nuovo Cim. A 57, 638.
Zund, J. D. (1975). Ann. Mat. Pure. Appl. 104, 239.
Ares de Parga, G., Lopez-Bonilla, J. L., Chavoya, O., and Chassin, T. (1989). Rev. Mex. Fis. 35, 393.
Lopez-Bonilla, J. L., Morales, J., Navarrete, D., and Rosales, M. (1993). Class. Quant. Grav. 10, 2153.
Dolan, P. and Kim, C. W. (1994). Proc. R. Soc. A 447, 577.
O'Donnell, P. (2003). Introduction to 2-Spinors in General Relativity, World Scientific, Singapore.
Gaftoi, V., Morales, J., Ovando, G., and Peña, J. J. (1998). Nuovo Cim. B 113, 1297.
Lopez-Bonilla, J. L., Ovando, G., and Peña, J. J. (1999). Found. Phys. Lett. 12, 401.
Lopez-Bonilla, J. L. and Ovando, G. (1999). Gen. Rel. Grav. 31, 1071.
Penrose, R. and Rindler, W. (1984). Spinors and Space-Time, Vol. 1, Cambridge University Press, Cambridge, United Kingdom.
Anderson, F. and Edgar, S. B. (2000). J. Math. Phys. 41, 2990.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
O'Donnell, P. Letter: A Solution of the Weyl–Lanczos Equations for the Schwarzschild Space-Time. General Relativity and Gravitation 36, 1415–1422 (2004). https://doi.org/10.1023/B:GERG.0000022577.11259.e0
Issue Date:
DOI: https://doi.org/10.1023/B:GERG.0000022577.11259.e0