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arXiv · 1004.1032

Generalized hidden symmetries and the Kerr-Sen black hole

Tsuyoshi Houri·David Kubiznak·Claude M. Warnick·Yukinori Yasui
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Abstract

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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Tsuyoshi Houri, David Kubiznak, Claude M. Warnick, Yukinori Yasui. 2010-04-07. Generalized hidden symmetries and the Kerr-Sen black hole. https://doi.org/10.1007/jhep07(2010)055

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