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arXiv · gr-qc/0108029

Dual Metrics and Non-Generic Supersymmetries for a Class of Siklos Spacetimes

D. Baleanu·S. Baskal
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Abstract

The presence of Killing-Yano tensors implies the existence of non-generic supercharges in spinning point particle theories on curved backgrounds. Dual metrics are defined through their associated non-degenerate Killing tensors of valence two. Siklos spacetimes, which are the only non-trivial Einstein spaces conformal to non-flat pp-waves are investigated in regards to the existence of their corresponding Killing and Killing-Yano tensors. It is found that under some restrictions, pp-wave metrics and Siklos spacetimes admit dual metrics and non-generic supercharges. Possible significance of those dual spacetimes are discussed.

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D. Baleanu, S. Baskal. 2001-08-09. Dual Metrics and Non-Generic Supersymmetries for a Class of Siklos Spacetimes. https://doi.org/10.1142/s0217751x02011023

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