Static axisymmetric spacetimes with non-generic world-line SUSY
General Relativity and Quantum Cosmology
2008-11-26 v1
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.
Keywords
Cite
@article{arxiv.gr-qc/9404034,
title = {Static axisymmetric spacetimes with non-generic world-line SUSY},
author = {Masayuki Tanimoto},
journal= {arXiv preprint arXiv:gr-qc/9404034},
year = {2008}
}
Comments
10 pages (RevTeX), TIT/HEP-253/COSMO-44