Abstract
We investigate dynamics of probe particles moving in the near-horizon limit of an extremal Myers–Perry black hole with nonvanishing rotation parameters. We show, that in the case of non-equal non-vanishing rotational parameters the dynamics of probe particle can be described in unified way for both even and odd dimensions. In this way we extend to the even dimension the results on integrability and separability of variables in ellipsoidal coordinates in odd dimension presented in [1]. We find the general solution of the Hamilton–Jacobi equations for these systems and write down the explicit expressions for the Liouville integrals of motion.
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ACKNOWLEDGMENTS
A.N. thanks Evgeny Ivanov for invitation at Conference on Supersymmetries and Quantum Symmetries—SQS’17, and kind hospitality during his stay in Dubna. All the authors gratefully acknowledge support of ICTP program network scheme NT-04. The work of M.M.Sh-J. is supported in part by the junior research chair in black hole physics of Iranian NSF.
The work of H. D., A. N. and T. H. is supported in part by the Armenian State Committee of Science, Grant No. 18RF-002 and by VolkswagenStiftung. It is done within ICTP Affiliated Center program AF-04. The work of H. D. is supported in part by research grant form the Armenian National Science and Education Fund (ANSEF) based in New York, USA.
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Demirchian, H., Hakobyan, T., Nersessian, A. et al. Myers–Perry Conformal Mechanics. Phys. Part. Nuclei 49, 860–864 (2018). https://doi.org/10.1134/S1063779618050167
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DOI: https://doi.org/10.1134/S1063779618050167