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arXiv · 1703.00713

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

Tigran Hakobyan·Armen Nersessian·M. M. Sheikh-Jabbari
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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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Tigran Hakobyan, Armen Nersessian, M. M. Sheikh-Jabbari. 2017-03-02. Near horizon extremal Myers-Perry black holes and integrability of associated conformal mechanics. https://doi.org/10.1016/j.physletb.2017.07.028

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