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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    9 Citations (Scopus)

    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 languageEnglish
    Pages (from-to)586-591
    Number of pages6
    JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
    Volume772
    DOIs
    Publication statusPublished - 10 Sep 2017

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    Keywords

    • Conformal mechanics
    • Ellipsoidal coordinates
    • Extremal black holes

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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