English

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 ρ+3p=const.\rho+3p=\text{const.}, 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.

Keywords

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

R2 v1 2026-06-22T03:17:06.444Z