Static axisymmetric spacetimes with non-generic world-line SUSY

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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.
10 pages (RevTeX), TIT/HEP-253/COSMO-44

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/207069

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/9404034
 http://arxiv.org/abs/gr-qc/9404034
 Phys.Rev.D50:2595-2599,1994
 doi:10.1103/PhysRevD.50.2595

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