Near horizon extremal Myers–Perry black holes and integrability of associated conformal mechanics
- Resource Type
- article
- Authors
- Tigran Hakobyan; Armen Nersessian; M.M. Sheikh-Jabbari
- Source
- Physics Letters B, Vol 772, Iss C, Pp 586-591 (2017)
- Subject
- Extremal black holes
Conformal mechanics
Ellipsoidal coordinates
Physics
QC1-999
- Language
- English
- ISSN
- 0370-2693
1873-2445
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.