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IPM
30
YEARS OLD

“School of Physic”

Paper   IPM / Physic / 15131
   School of Physics
  Title: On integrability of geodesics in near-horizon extremal geometries
  Author(s):
1 . H. Demirchian
2 . A. Nersessian
3 . S. Sadeghian
4 . M.M. Sheikh-Jabbari
  Status: Published
  Journal: Phys. Rev. D
  No.: 10
  Vol.: 97
  Year: 2018
  Pages: 104004
  Supported by: IPM
  Abstract:
We investigate dynamics of probe particles moving in the near-horizon limit of extremal Myers-Perry black holes in arbitrary dimensions. Employing ellipsoidal coordinates we show that this problem is integrable and separable, extending the results of the odd dimensional case discussed in []. We find the general solution of the Hamilton-Jacobi equations for these systems and present explicit expressions for the Liouville integrals, discuss Killing tensors and the associated constants of motion. We analyze special cases of the background near-horizon geometry were the system possesses more constants of motion and is hence superintegrable. Finally, we consider near-horizon extremal vanishing horizon case which happens for Myers-Perry black holes in odd dimensions and show that geodesic equations on this geometry are also separable and work out its integrals of motion.

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