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

Tigran Hakobyan, Armen Nersessian, M. M. Sheikh-Jabbari

Research output: Contribution to journal › Article

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
Pages (from-to)	586-591
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	772
DOIs	https://doi.org/10.1016/j.physletb.2017.07.028
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

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

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Access to Document

10.1016/j.physletb.2017.07.028