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Static axisymmetric spacetimes with non-generic world-line SUSY

Masayuki Tanimoto
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Abstract

The conditions for the existence of Killing-Yano tensors, which are closely related to the appearance of non-generic world-line SUSY, are presented for static axisymmetric spacetimes. Imposing the vacuum Einstein equation, the set of solutions admitting Killing-Yano tensors is considered. In particular, it is shown that static, axisymmetric and asymptotically flat vacuum solutions admitting Killing-Yano tensors are only the Schwarzschild solution.

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Masayuki Tanimoto. 1994-04-18. Static axisymmetric spacetimes with non-generic world-line SUSY. https://doi.org/10.1103/physrevd.50.2595

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