Do Killing-Yano tensors form a Lie Algebra?
May, 2007
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Abstract: (arXiv)
Killing-Yano tensors are natural generalizations of Killing vectors. We investigate whether Killing-Yano tensors form a graded Lie algebra with respect to the Schouten-Nijenhuis bracket. We find that this proposition does not hold in general, but that it does hold for constant curvature spacetimes. We also show that Minkowski and (anti)-deSitter spacetimes have the maximal number of Killing-Yano tensors of each rank and that the algebras of these tensors under the SN bracket are relatively simple extensions of the Poincare and (A)dS symmetry algebras.- 04.20.-q
- 02.40.-k
- conservation law
- space-time
- tensor: Killing-Yano
- algebra: Lie
- vector: Killing
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