Abstract
It is shown that space-times admitting more than one independent Killing-Yano tensor belong to a small collection of highly idealised space-times. A new characterization of Robertson-Walker space-times arises as a corollary of the main theorem.
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References
Collinson, C. (1974).Tensor,28, 173.
Dietz, W., and Rüdiger, R. (1981).Proceedings of the Royal Society of London A,375, 361.
Dietz, W., and Rüdiger, R. (1982).Proceedings of the Royal Society of London A,381, 315.
Ehlers, J., and Kundt, W. (1962). InGravitation: An Introduction to Current Research, L. Witten, ed., Wiley, New York.
Hall, G. S. (1976).Journal of Physics A,9, 541.
Hall, G. S. (1984).Differential Geometry, Banach Centre Publications, Vol. 12, Polish Scientific Publishers, Warsaw.
Hall, G. S., and McIntosh, C. B. G. (1983).International Journal of Theoretical Physics,22, 469.
Kramer, D., Stephani, H., MacCallum, M. A. H., and Herlt, E. (1980).Exact Solutions of Einstein's Field Equations, Cambridge University Press, Cambridge.
Stephani, H. (1978).General Relativity and Gravitation,9, 789.
Tachibana, S. (1968).Tôhoku Mathematics Journal,20, 257.
Taxiarchis, P. (1985).General Relativity and Graviation,17, 149.
Van Leeuwen, E. H. (1981). Ph.D. Thesis, Monash University.
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Hall, G.S. Killing-Yano tensors in general relativity. Int J Theor Phys 26, 71–81 (1987). https://doi.org/10.1007/BF00672392
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DOI: https://doi.org/10.1007/BF00672392