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Paper   IPM / Physic / 14697
School of Physics
  Title:   Near horizon extremal Myers-Perry black holes and integrability of associated conformal mechanics
  Author(s): 
1.  T. Hakobyan
2.  A. Nersessian
3.  M.M. Sheikh-Jabbari
  Status:   Published
  Journal: Phys. Lett. B
  Vol.:  772
  Year:  2017
  Pages:   586-591
  Supported by:  IPM
  Abstract:
We investigate dynamics of probe particles moving in the near-horizon limit of (2N+1)-dimensional extremal Myers-Perry black hole with arbitrary rotation parameters. We observe that in the most general case with nonequal nonvanishing rotational parameters the system admits separation of variables in N-dimensional ellipsoidal coordinates. This allows us to find solution of the corresponding Hamilton-Jacobi equation and write down the explicit expressions of Liouville constants of motion.

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