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

    8 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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    horizon
    probes

    Keywords

    • Conformal mechanics
    • Ellipsoidal coordinates
    • Extremal black holes

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

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

    In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 772, 10.09.2017, p. 586-591.

    Research output: Contribution to journal › Article

    Hakobyan, T, Nersessian, A & Sheikh-Jabbari, MM 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, vol. 772, pp. 586-591. https://doi.org/10.1016/j.physletb.2017.07.028
    Hakobyan T, Nersessian A, Sheikh-Jabbari MM. Near horizon extremal Myers–Perry black holes and integrability of associated conformal mechanics. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2017 Sep 10;772:586-591. https://doi.org/10.1016/j.physletb.2017.07.028
    Hakobyan, Tigran ; Nersessian, Armen ; Sheikh-Jabbari, M. M. / Near horizon extremal Myers–Perry black holes and integrability of associated conformal mechanics. In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2017 ; Vol. 772. pp. 586-591.
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