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19 April 2024
 
  » arxiv » gr-qc/0108029

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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
AbstractThe 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
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