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

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

    Результат исследований: Материалы для журналаСтатья

    8 Цитирования (Scopus)

    Выдержка

    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.

    Язык оригиналаАнглийский
    Страницы (с-по)586-591
    Число страниц6
    ЖурналPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
    Том772
    DOI
    СостояниеОпубликовано - 10 сен 2017

    Отпечаток

    horizon
    probes

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Цитировать

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

    В: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Том 772, 10.09.2017, стр. 586-591.

    Результат исследований: Материалы для журналаСтатья

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    keywords = "Conformal mechanics, Ellipsoidal coordinates, Extremal black holes",
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    AU - Nersessian, Armen

    AU - Sheikh-Jabbari, M. M.

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    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.

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    KW - Ellipsoidal coordinates

    KW - Extremal black holes

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