General Wahlquist Metrics in All Dimensions
2014
It is shown that the Wahlquist metric, which is a stationary, axially symmetric perfect fluid solution with �+3p = 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 higherdimensional 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 familty of static, spherically symmetric perfect fluid solutions in higher dimensions.
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