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Dual Metrics and Non-Generic Supersymmetries for a Class of Siklos Spacetimes | D. Baleanu
; S. Baskal
; | Date: |
9 Aug 2001 | Journal: | Int.J.Mod.Phys. A17 (2002) 3737-3748 | Subject: | gr-qc | 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. | Source: | arXiv, gr-qc/0108029 | Services: | Forum | Review | PDF | Favorites |
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