Hidden Symmetries of Higher Dimensional Black Holes and Uniqueness of the Kerr-NUT-(A)dS spacetime

Article

Hidden Symmetries of Higher Dimensional Black Holes and Uniqueness of the Kerr-NUT-(A)dS spacetime

Krtouš, P.; Frolov, V. P.; Kubizňák, D.

Phys. Rev. D 78, 064022 (2008)

Abstract

We prove that the most general solution of the Einstein equations with the cosmological constant which admits a principal conformal Killing-Yano tensor is the Kerr-NUT-(A)dS metric. Even when the Einstein equations are not imposed, any spacetime admitting such hidden symmetry can be written in a canonical form which guarantees the following properties: it is of the Petrov type D, it allows the separation of variables for the Hamilton-Jacobi, Klein-Gordon, and Dirac equations, the geodesic motion in such a spacetime is completely integrable. These results naturally generalize the results obtained earlier in four dimensions.

Institute authors

Krtouš, Pavel

Supported by

GACR 202/08/0187 — Exact solutions in higher dimensional and classical gravity
LC06014 — Centrum teoretické astrofyziky

BibTeX

@article{UTF62,
  author        = {Krtouš, P. and Frolov, V. P. and Kubizňák, D.},
  title         = {{Hidden Symmetries of Higher Dimensional Black Holes and Uniqueness of the Kerr-NUT-(A)dS spacetime}},
  journal       = {Phys. Rev. D},
  volume        = {78},
  pages         = {064022},
  year          = {2008},
  eprint        = {0804.4705},
  archivePrefix = {arXiv},
}