General Wahlquist metrics in all dimensions

Kazuki Hinoue, Tsuyoshi Houri, Christina Rugina, and Yukinori Yasui
Phys. Rev. D 90, 024037 – Published 14 July 2014

Abstract

It is shown that the Wahlquist metric, which is a stationary, axially symmetric perfect fluid solution with ρ+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.

  • Received 11 March 2014

DOI:https://doi.org/10.1103/PhysRevD.90.024037

© 2014 American Physical Society

Authors & Affiliations

Kazuki Hinoue1,*, Tsuyoshi Houri2,†, Christina Rugina3,4,5,‡, and Yukinori Yasui1,§

  • 1Department of Mathematics and Physics, Graduate School of Science, Osaka City University, Osaka 558-8585, Japan
  • 2Department of Physics, Rikkyo University, Tokyo 171-8501, Japan
  • 3Department of Physics, University of Bucharest, Bucharest 050107, Romania
  • 4IFIN-HH, Department of Theoretical Physics, Magurele 07712, Romania
  • 5Department of Physics, Imperial College, London SW7 2AZ, United Kingdom

  • *hinoue@sci.osaka-cu.ac.jp
  • houri@rikkyo.ac.jp
  • cristina.rugina11@imperial.ac.uk
  • §yasui@sci.osaka-cu.ac.jp

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Issue

Vol. 90, Iss. 2 — 15 July 2014

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