Generalized hidden symmetries and the Kerr-Sen black hole

Details Generalized hidden symmetries and the Kerr-Sen black hole Generalized hidden symmetries and the Kerr-Sen black hole

2010-04-07

arxiv.org/abs/1004.1032v1

JHEP 1007:055,2010

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, no figures

Scientific paper

10.1007/JHEP07(2010)055

We elaborate on basic properties of generalized Killing-Yano tensors which naturally extend Killing-Yano symmetry in the presence of skew-symmetric torsion. In particular, we discuss their relationship to Killing tensors and the separability of various field equations. We further demonstrate that the Kerr-Sen black hole spacetime of heterotic string theory, as well as its generalization to all dimensions, possesses a generalized closed conformal Killing-Yano 2-form with respect to a torsion identified with the 3-form occuring naturally in the theory. Such a 2-form is responsible for complete integrability of geodesic motion as well as for separability of the scalar and Dirac equations in these spacetimes.

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