Wahlquist将军在所有维度中的应用
General Wahlquist Metrics in All Dimensions
摘要：
证明了具有$ρ+3p=\text{const.}$的稳态轴对称理想流体解Wahlquist度规存在一个秩为2的广义闭共形Killing-Yano张量，该张量具有反对称挠率.利用这种张量的存在，我们得到了任意维的Wahlquist度规的高维推广，包括具有球视界拓扑的真空黑洞解族，如Schwarzschild-Tangherlini，Myers-Perry和高维Kerr-NUT-（A）dS度规，以及高维静态球对称完美流体解族.
英文摘要：
It is shown that the Wahlquist metric, which is a stationary, axially symmetric perfect fluid solution with $ρ+3p=\text{const.}$, 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.
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