General Wahlquist metrics in all dimensions

被引:7
|
作者
Hinoue, Kazuki [1 ]
Houri, Tsuyoshi [2 ]
Rugina, Christina [3 ,4 ,5 ]
Yasui, Yukinori [1 ]
机构
[1] Osaka City Univ, Grad Sch Sci, Dept Math Phys, Osaka 5588585, Japan
[2] Rikkyo Univ, Dept Phys, Tokyo 1718501, Japan
[3] Univ Bucharest, Dept Phys, Bucharest 050107, Romania
[4] IFIN HH, Dept Theoret Phys, Magurele 07712, Romania
[5] Imperial Coll, Dept Phys, London SW7 2AZ, England
来源
PHYSICAL REVIEW D | 2014年 / 90卷 / 02期
关键词
PERFECT-FLUID; SCHWARZSCHILD SPACETIME; INTERIOR SOLUTION; SITTER SPACETIME; KILLING TENSORS; ROTATING BODY; RELATIVITY; SEPARABILITY; TIMES;
D O I
10.1103/PhysRevD.90.024037
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
It is shown that the Wahlquist metric, which is a stationary, axially symmetric perfect fluid solution with rho + 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 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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页数:14
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