2013/09/30 by Dmitry Chernyavsky · 6 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Combinatorics #Conformal map #Cosmology and Gravitation Theories #Dimension (graph theory) #Geometry #Homogeneous space #Isometry (Riemannian geometry) #Mathematical physics #Mathematics #Metric (unit) #Physics #Pure mathematics #Quadratic equation #Rank (graph theory) #gr-qc #hep-th
paper · pdf · doi:10.1016/j.geomphys.2014.03.013
published in Journal of Geometry and Physics 83, 12-17 (Elsevier BV) · The version to appear in Journal of Geometry and Physics
arxiv created 2014/03/31 · openalex publication_date 2014/04/04 · arxiv updated 2015/06/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
An extremal rotating black hole in arbitrary dimension, along with time translations and rotations, possesses a number of hidden symmetries characterized by the second rank Killing tensors. As is known, in the near horizon limit the isometry group of the metric is enhanced to include the conformal factor SO(2,1). It is demonstrated that for the near horizon extremal Kerr (NHEK) geometry in arbitrary dimension one of the Killing tensors decomposes into a quadratic combination of the Killing vectors corresponding to the conformal group, while the rest is functionally independent.