Generalized hidden symmetries and the Kerr-Sen black hole
High Energy Physics - Theory
2010-07-29 v1 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.1004.1032,
title = {Generalized hidden symmetries and the Kerr-Sen black hole},
author = {Tsuyoshi Houri and David Kubiznak and Claude M. Warnick and Yukinori Yasui},
journal= {arXiv preprint arXiv:1004.1032},
year = {2010}
}
Comments
33 pages, no figures