Static axisymmetric spacetimes with non-generic world-line SUSY

Details Static axisymmetric spacetimes with non-generic world-line SUSY Static axisymmetric spacetimes with non-generic world-line SUSY

1994-04-18

arxiv.org/abs/gr-qc/9404034v1

Phys.Rev.D50:2595-2599,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.50.2595

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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