Hidden symmetries of black holes in five-dimensional supergravity
High Energy Physics - Theory
2016-09-01 v2 General Relativity and Quantum Cosmology
Abstract
We consider a general charged, rotating black hole in five-dimensional STU supergravity, and show that its six-dimensional Kaluza-Klein lift admits a Killing-Yano 3-form with torsion. This underlies its known Killing tensors in five dimensions, and is related to the separability of torsion-modified Dirac equations. In the generalization to gauged supergravity, we present a five-dimensional Killing-Yano 3-form with torsion when two of the gauge fields are equal, and a Killing-Stackel tensor in the general 3-charge Wu solution.
Keywords
Cite
@article{arxiv.1608.05052,
title = {Hidden symmetries of black holes in five-dimensional supergravity},
author = {David D. K. Chow},
journal= {arXiv preprint arXiv:1608.05052},
year = {2016}
}
Comments
v2: added discussion of Dirac equation and references, 14 pages