### 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 |

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### Keywords

- Conformal mechanics
- Ellipsoidal coordinates
- Extremal black holes

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

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

*772*, 586-591. https://doi.org/10.1016/j.physletb.2017.07.028

**Near horizon extremal Myers–Perry black holes and integrability of associated conformal mechanics.** / Hakobyan, Tigran; Nersessian, Armen; Sheikh-Jabbari, M. M.

Research output: Contribution to journal › Article

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

}

TY - JOUR

T1 - Near horizon extremal Myers–Perry black holes and integrability of associated conformal mechanics

AU - Hakobyan, Tigran

AU - Nersessian, Armen

AU - Sheikh-Jabbari, M. M.

PY - 2017/9/10

Y1 - 2017/9/10

N2 - 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.

AB - 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.

KW - Conformal mechanics

KW - Ellipsoidal coordinates

KW - Extremal black holes

UR - http://www.scopus.com/inward/record.url?scp=85025161612&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85025161612&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2017.07.028

DO - 10.1016/j.physletb.2017.07.028

M3 - Article

VL - 772

SP - 586

EP - 591

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

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

SN - 0370-2693

ER -