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Paper   IPM / Physic / 15301
School of Physics
  Title:   Hidden symmetries of near horizon extremal Kerr-AdS-NUT geometries
  Author(s):  S. Sadeghian
  Status:   Published
  Journal: Phys. Rev. D
  Vol.:  98
  Year:  2018
  Pages:   084031
  Supported by:  IPM
We study hidden symmetries, the symmetries associated with the Killing tensors, of the near horizon geometry of odd-dimensional Kerr-AdS-NUT black hole in two limits: generic extremal and extremal vanishing horizon (EVH) limits. Starting from Kerr-AdS-NUT black hole in ellipsoidal coordinates which admits integrable geodesic equations, we obtain the near horizon extremal/EVH geometries and their principal and Killing tensors by taking the near horizon limit. We explicitly demonstrate that geodesic equations are separable and integrable on theses near horizon geometries. We also compute the constants of motion and read the Killing tensors of these near horizon geometries from the constants of motion. As we expected, they are the same as the Killing tensors given by taking the near horizon limit.

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