Do Killing-Yano tensors form a Lie Algebra?

Details Do Killing-Yano tensors form a Lie Algebra? Do Killing-Yano tensors form a Lie Algebra?

2007-05-03

arxiv.org/abs/0705.0535v1

Class.Quant.Grav.24:3759-3768,2007

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

10.1088/0264-9381/24/14/014

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.

Affiliated with

Also associated with

No associations

Rating

Do Killing-Yano tensors form a Lie Algebra? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Do Killing-Yano tensors form a Lie Algebra?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Do Killing-Yano tensors form a Lie Algebra? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-614960