Static axisymmetric spacetimes with non-generic world-line SUSY

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.

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

References in corpus (1)

• SUSY in the sky

Cited by in corpus (2)

• The role of Killing-Yano tensors in supersymmetric mechanics on a curved manifold
• Dual Metrics and Non-Generic Supersymmetries for a Class of Siklos Spacetimes