This paper contains a brief review of the remarkable properties of higher dimensional rotating black holes with the spherical topology of the horizon. We demonstrate that these properties are connected with and generated by a special geometrical object, the Principal Conformal Killing-Yano tensor (PCKYT). The most general solution, describing such black holes, Kerr-NUT-ADS metric, admits this structure. Moreover a solution of the Einstein Equations with (or without) a cosmological constant which possesses PCKYT is the Kerr-NUT-ADS metric. This object (PCKYT) is responsible for such remarkable properties of higher dimensional rotating black holes as: (i) complete integrability of geodesic equations and (ii) complete separation of variables of the important field equations.
CITATION STYLE
Frolov, V. P. (2014). Black Holes, Hidden Symmetry and Complete Integrability: Brief Review. In General Relativity, Cosmology and Astrophysics (pp. 261–273). Springer International Publishing. https://doi.org/10.1007/978-3-319-06349-2_13
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