Thursday, March 21, 2013

1303.4901 (Anton Galajinsky et al.)

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

Anton Galajinsky, Armen Nersessian, Armen Saghatelian
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.
View original: http://arxiv.org/abs/1303.4901

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