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arXiv · 1303.4901

Superintegrable models related to near horizon extremal Myers-Perry black hole in arbitrary dimension

Anton Galajinsky·Armen Nersessian·Armen Saghatelian
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Abstract

We provide a systematic account of integrability of the spherical mechanics associated with the near horizon extremal Myers-Perry black hole in arbitrary dimension for the special case that all rotation parameters are equal. The integrability is established both in the original coordinates and in action-angle variables. It is demonstrated that the spherical mechanics associated with the black hole in d=2n+1 is maximally superintegrable, while its counterpart related to the black hole in d=2n lacks for only one integral of motion to be maximally superintegrable.

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Anton Galajinsky, Armen Nersessian, Armen Saghatelian. 2013-03-20. Superintegrable models related to near horizon extremal Myers-Perry black hole in arbitrary dimension. https://doi.org/10.1007/jhep06(2013)002

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