pith. sign in

arxiv: 1402.6904 · v2 · pith:O4SUYE5Onew · submitted 2014-02-27 · 🌀 gr-qc · hep-th

General Wahlquist Metrics in All Dimensions

classification 🌀 gr-qc hep-th
keywords dimensionswahlquistfamilyfluidhigher-dimensionalmetricmetricsperfect
0
0 comments X
read the original abstract

It is shown that the Wahlquist metric, which is a stationary, axially symmetric perfect fluid solution with $\rho+3p=\text{const.}$, 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.