Hidden Symmetry and Exact Solutions in Einstein Gravity
High Energy Physics - Theory
2015-05-27 v1
Abstract
Conformal Killing-Yano tensors are introduced as a generalization of Killing vectors. They describe symmetries of higher-dimensional rotating black holes. In particular, a rank-2 closed conformal Killing-Yano tensor generates the tower of both hidden symmetries and isometries. We review a classification of higher-dimensional spacetimes admitting such a tensor, and present exact solutions to the Einstein equations for these spacetimes.
Cite
@article{arxiv.1104.0852,
title = {Hidden Symmetry and Exact Solutions in Einstein Gravity},
author = {Yukinori Yasui and Tsuyoshi Houri},
journal= {arXiv preprint arXiv:1104.0852},
year = {2015}
}
Comments
Invited review for Prog. Theor. Phys. Suppl, 39 pages, 1 figure, 2 tables