General Wahlquist Metrics in All Dimensions
General Relativity and Quantum Cosmology
2014-10-07 v2 High Energy Physics - Theory
Abstract
It is shown that the Wahlquist metric, which is a stationary, axially symmetric perfect fluid solution with , admits a rank-2 generalized closed conformal Killing-Yano tensor with a skew-symmetric torsion. Taking advantage of the presence of such a tensor, we obtain a higher-dimensional generalization of the Wahlquist metric in arbitrary dimensions, including a family of vacuum black hole solutions with spherical horizon topology such as Schwarzschild-Tangherlini, Myers-Perry and higher-dimensional Kerr-NUT-(A)dS metrics and a family of static, spherically symmetric perfect fluid solutions in higher dimensions.
Cite
@article{arxiv.1402.6904,
title = {General Wahlquist Metrics in All Dimensions},
author = {Kazuki Hinoue and Tsuyoshi Houri and Christina Rugina and Yukinori Yasui},
journal= {arXiv preprint arXiv:1402.6904},
year = {2014}
}
Comments
14 pages, no figures, v2: references added, version to appear in Phys. Rev. D