### 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 non-equal non-vanishing 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.

Original language | English |
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Pages (from-to) | 586-591 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 772 |

DOIs | |

Publication status | Published - 10 Sep 2017 |

### Keywords

- Conformal mechanics
- Ellipsoidal coordinates
- Extremal black holes

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Hakobyan, T., Nersessian, A., & Sheikh-Jabbari, M. M. (2017). Near horizon extremal Myers–Perry black holes and integrability of associated conformal mechanics.

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,*772*, 586-591. https://doi.org/10.1016/j.physletb.2017.07.028